{"id":37907,"date":"2023-08-25T02:24:12","date_gmt":"2023-08-25T07:54:12","guid":{"rendered":"https:\/\/therightmentor.com\/?p=37907"},"modified":"2024-11-18T11:00:22","modified_gmt":"2024-11-18T05:30:22","slug":"direct-and-inverse-proportions-study","status":"publish","type":"post","link":"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/","title":{"rendered":"Direct And Inverse Proportions  | Study"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Click For Contents <\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Pre-Requisires\" >Pre-Requisires<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Direct_and_Inverse_Proportions_Speed_Notes\" >Direct and Inverse Proportions | Speed Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Study_Tools\" >Study Tools<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#1_Distance_and_Time\" >1.\u00a0Distance and Time<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#i\" >\u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#2_Cost_of_Groceries\" >2.\u00a0Cost of Groceries<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#3_Cooking_Ingredients\" >3.\u00a0Cooking Ingredients<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#4_Speed_and_Fuel_Consumption\" >4.\u00a0Speed and Fuel Consumption<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#5_Salary_and_Hours_Worked\" >5.\u00a0Salary and Hours Worked<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Dig_Deep\" >Dig Deep<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Sub_%E2%80%93_Topics\" >Sub &#8211; Topics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Chapters_Index\" >Chapters Index<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/therightmentor.com\/trm-course\/home\/courses\/cbse-8-mathematics-study-premium\/direct-and-inverse-proportions-study\/#Assessments\" >Assessments<\/a><\/li><\/ul><\/nav><\/div>\n\n<hr class=\"wp-block-separator alignfull has-text-color has-vivid-cyan-blue-color has-alpha-channel-opacity has-vivid-cyan-blue-background-color has-background is-style-wide is-style-wide--1\"\/>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group alignfull has-tertiary-background-color has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-19c400f2 wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0\">\n<div class=\"wp-block-buttons alignfull is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-6e9f73ed wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-base-color has-vivid-red-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/therightmentor.com\/number-systems-assessments\/\">Assess<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-vivid-cyan-blue-background-color has-background wp-element-button\" style=\"border-width:2px\">Interact<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-tertiary-background-color has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<h2 class=\"wp-block-heading has-large-font-size\"><span class=\"ez-toc-section\" id=\"Pre-Requisires\"><\/span>Pre-Requisires<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-small-font-size\">Test &amp; Enrich<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100 has-custom-font-size is-style-outline has-small-font-size is-style-outline--2\"><a class=\"wp-block-button__link has-text-align-left wp-element-button\">Pre &#8211; Requisite<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Direct and Inverse Proportions\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/6R9BgGTpmO4?list=PLEuUy4TjqFeAD5Xcp85qBGE8VHxrYIu7F\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">English Version<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-base-background-color has-text-color has-background has-link-color wp-elements-2857c570f2d431009b5c8df756e8e304 is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"single\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Direct_and_Inverse_Proportions_Speed_Notes\"><\/span><strong><strong>Direct and Inverse Proportions<\/strong><\/strong> | <strong>Speed Notes<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong><strong>Notes For Quick Recap<\/strong><\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-css-opacity has-background is-style-wide is-style-wide--3\" style=\"background-color:#000000;color:#000000\"\/>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Variations: <\/strong>If the values of two quantities depend on each other in such a way that a change in one causes corresponding change in the other, then the two quantities are said to be in variation. <strong>(Scroll down to continue &#8230;)<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"single\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Study_Tools\"><\/span><strong>Study Tools<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong>Audio, Visual &amp; Digital Content<\/strong><\/p>\n\n\n                <div class=\"igd igd-shortcode-wrap igd-shortcode-slider\"\n                     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\"\n                     style=\"--module-width: 100%; --module-height: ;\"\n                ><\/div>\n                \n\n\n\n<div class=\"wp-block-group has-medium-font-size is-layout-flow wp-block-group-is-layout-flow\">\n<p><strong>Direct Variation or Direct Proportion:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"561\" height=\"564\" src=\"https:\/\/therightmentor.com\/wp-content\/uploads\/2023\/09\/image-26.png\" alt=\"\" class=\"wp-image-40340\" srcset=\"https:\/\/therightmentor.com\/wp-content\/uploads\/2023\/09\/image-26.png 561w, https:\/\/therightmentor.com\/wp-content\/uploads\/2023\/09\/image-26-100x100.png 100w, https:\/\/therightmentor.com\/wp-content\/uploads\/2023\/09\/image-26-298x300.png 298w, https:\/\/therightmentor.com\/wp-content\/uploads\/2023\/09\/image-26-150x150.png 150w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">Extra:<\/p>\n\n\n\n<p>Two quantities x and y are said to be in <strong>direct proportion <\/strong>if they increase (decrease) together in such a manner that the ratio of their corresponding values remains<\/p>\n\n\n\n<p>constant. That is if<\/p>\n\n\n\n<p>=k [k is a positive number, then x and y are said to vary directly.<\/p>\n\n\n\n<p>In such a case if y<sub>1<\/sub>, y<sub>2 <\/sub>are the values of y corresponding to the values x<sub>1<\/sub>, x of x<\/p>\n\n\n\n<p>respectively then = .<\/p>\n\n\n\n<p>If the number of articles purchased increases, the total cost also increases. More than money deposited in a bank, more is the interest earned.<\/p>\n\n\n\n<p>Quantities increasing or decreasing together need not always be in direct proportion, same in the case of inverse proportion.<\/p>\n\n\n\n<p>When two quantities x and y are in direct proportion (or vary directly), they are<\/p>\n\n\n\n<p>written as<\/p>\n\n\n\n<p>. Symbol<\/p>\n\n\n\n<p>stands for \u2018is proportion to\u2019.<\/p>\n\n\n\n<p><strong>Inverse Proportion: <\/strong>Two quantities x and y are said to be in <strong>inverse proportion <\/strong>if an increase in x causes a proportional decrease in y <strong>(and vice-versa<\/strong>) in such a manner that the product of their corresponding values remains constant. That is, if xy<\/p>\n\n\n\n<p>= k, then x and y are said to vary inversely. In this case if y<sub>1<\/sub>, y<sub>2 <\/sub>are the values of y<\/p>\n\n\n\n<p>corresponding to the values x<sub>1<\/sub>, x<sub>2 <\/sub>of x respectively then<\/p>\n\n\n\n<p><sup>x<\/sup>1<sup>, Y<\/sup>1 = <sup>x<\/sup>2<sup>, y<\/sup>2 or<\/p>\n\n\n\n<p>=<\/p>\n\n\n\n<p>When two quantities x and y are in inverse proportion (or vary inversely), they are<\/p>\n\n\n\n<p>written as x<\/p>\n\n\n\n<p>. Example: If the number of workers increases, time taken to finish<\/p>\n\n\n\n<p>the job decreases. Or If the speed will increase the time required to cover a given distance decreases.<\/p>\n\n\n\n<p>\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"1_Distance_and_Time\"><\/span>1.\u00a0<strong>Distance and Time<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"width: 40.7163%; height: 220px;\">\n<thead>\n<tr>\n<th style=\"width: 7.98477%;\">Time (hours)<\/th>\n<th style=\"width: 7.89327%;\">Distance (km)<\/th>\n<th style=\"width: 22.6973%;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"width: 7.98477%;\">0<\/td>\n<td style=\"width: 7.89327%;\">0<\/td>\n<td style=\"width: 22.6973%;\">\n<p><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>d<\/mi><mo>=<\/mo><mn>60<\/mn><mo>\u00d7 t\u00a0<\/mo><mi><\/mi><\/mrow><\/semantics><\/math><\/span><\/span><\/span><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u21d2 d<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">60<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 7.98477%;\">1<\/td>\n<td style=\"width: 7.89327%;\">60<\/td>\n<td style=\"width: 22.6973%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 7.98477%;\">2<\/td>\n<td style=\"width: 7.89327%;\">120<\/td>\n<td style=\"width: 22.6973%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 7.98477%;\">3<\/td>\n<td style=\"width: 7.89327%;\">180<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"i\"><\/span>\u00a0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"2_Cost_of_Groceries\"><\/span><strong>2.\u00a0Cost of Groceries<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"width: 39.9667%;\">\n<thead>\n<tr>\n<th style=\"width: 9.75287%;\">Number of Apples<\/th>\n<th style=\"width: 7.08333%;\">Total Cost ($)<\/th>\n<th style=\"width: 23.0472%;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"width: 9.75287%;\">0<\/td>\n<td style=\"width: 7.08333%;\">0<\/td>\n<td style=\"width: 23.0472%;\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>C<\/mi><mo>=<\/mo><mn>2n\u00a0 \u21d2 \u00a0<\/mn><mi><\/mi><\/mrow><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">C<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 9.75287%;\">1<\/td>\n<td style=\"width: 7.08333%;\">2<\/td>\n<td style=\"width: 23.0472%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 9.75287%;\">2<\/td>\n<td style=\"width: 7.08333%;\">4<\/td>\n<td style=\"width: 23.0472%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 9.75287%;\">5<\/td>\n<td style=\"width: 7.08333%;\">10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_Cooking_Ingredients\"><\/span><strong>3.<\/strong>\u00a0<strong>Cooking Ingredients<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"width: 39.6336%;\">\n<thead>\n<tr>\n<th style=\"width: 10.5745%;\">Number of Servings<\/th>\n<th style=\"width: 9.99167%;\">Amount of Flour (cups)<\/th>\n<th style=\"width: 18.9008%;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"width: 10.5745%;\">0<\/td>\n<td style=\"width: 9.99167%;\">0<\/td>\n<td style=\"width: 18.9008%;\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>F<\/mi><mo>=<\/mo><mn>0.5<\/mn><mi>s<\/mi><\/mrow><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">F<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0.5<\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 10.5745%;\">4<\/td>\n<td style=\"width: 9.99167%;\">2<\/td>\n<td style=\"width: 18.9008%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 10.5745%;\">6<\/td>\n<td style=\"width: 9.99167%;\">3<\/td>\n<td style=\"width: 18.9008%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 10.5745%;\">8<\/td>\n<td style=\"width: 9.99167%;\">4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Speed_and_Fuel_Consumption\"><\/span>4.\u00a0<strong>Speed and Fuel Consumption<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"width: 40.4663%;\">\n<thead>\n<tr>\n<th style=\"width: 8.32639%;\">Distance (km)<\/th>\n<th style=\"width: 11.8234%;\">Fuel Consumed (liters)<\/th>\n<th style=\"width: 20.2332%;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"width: 8.32639%;\">0<\/td>\n<td style=\"width: 11.8234%;\">0<\/td>\n<td style=\"width: 20.2332%;\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>F<\/mi><mo>=<\/mo><mfrac><mi>d<\/mi><mn>15<\/mn><\/mfrac><\/mrow><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">F<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">15<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">d<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.32639%;\">15<\/td>\n<td style=\"width: 11.8234%;\">1<\/td>\n<td style=\"width: 20.2332%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.32639%;\">30<\/td>\n<td style=\"width: 11.8234%;\">2<\/td>\n<td style=\"width: 20.2332%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.32639%;\">45<\/td>\n<td style=\"width: 11.8234%;\">3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Salary_and_Hours_Worked\"><\/span><strong>5.\u00a0Salary and Hours Worked<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"width: 34.055%;\">\n<thead>\n<tr>\n<th style=\"width: 8.65945%;\">Hours Worked<\/th>\n<th style=\"width: 9.90845%;\">Total Earnings ($)<\/th>\n<th style=\"width: 15.4039%;\">Formula<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"width: 8.65945%;\">0<\/td>\n<td style=\"width: 9.90845%;\">0<\/td>\n<td style=\"width: 15.4039%;\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>E<\/mi><mo>=<\/mo><mn>15<\/mn><mi>h<\/mi><\/mrow><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">E<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">15<\/span><span class=\"mord mathnormal\">h<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.65945%;\">1<\/td>\n<td style=\"width: 9.90845%;\">15<\/td>\n<td style=\"width: 15.4039%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.65945%;\">5<\/td>\n<td style=\"width: 9.90845%;\">75<\/td>\n<td style=\"width: 15.4039%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.65945%;\">10<\/td>\n<td style=\"width: 9.90845%;\">150<\/td>\n<td style=\"width: 15.4039%;\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-fe53acc0 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-container uagb-block-f7936561\">\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Direct and Inverse Proportions\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/chImIuaaRYw?list=PLEuUy4TjqFeBu0qXB7Y1jF7ndP8mup3Kw\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Hindi Version<\/figcaption><\/figure>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns alignfull is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-tertiary-background-color has-text-color has-background has-link-color wp-elements-5e3c542027fc68a0d6a0b0b01438fa4a is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"family\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Dig_Deep\"><\/span><strong>Dig Deep<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-luminous-vivid-orange-color has-text-color has-normal-font-size\" style=\"line-height:1.5\"><strong>Topic Level Resources<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--4\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-text-color has-background has-link-color wp-elements-e6eaa140dba6463a8f938f22ec2b7cdb is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;background-color:#c0ebf1;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"patron\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Sub_%E2%80%93_Topics\"><\/span><strong>Sub &#8211; Topics<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Select A Topic<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--5\"\/>\n\n\n\n<p class=\"has-medium-font-size\">Topic:<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-d2da2050 wp-block-columns-is-layout-flex\" style=\"margin-bottom:0\">\n<div class=\"wp-block-column has-text-color has-background has-link-color has-medium-font-size wp-elements-0780096e3784cff8d04d84d0a2616d0b is-layout-flow wp-block-column-is-layout-flow\" style=\"color:#000000;background-color:#d1d1e1;padding-top:2em;padding-right:2em;padding-bottom:2em;padding-left:2em\">\n<h2 class=\"wp-block-heading\" id=\"family\" style=\"font-size:clamp(24.034px, 1.502rem + ((1vw - 3.2px) * 1.565), 40px);\"><span class=\"ez-toc-section\" id=\"Chapters_Index\"><\/span><strong>Chapters Index<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-normal-font-size\" style=\"line-height:1.5\"><strong>Select Another Chapter<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity is-style-wide is-style-wide--6\"\/>\n\n\n[display-posts category=&#8221;CBSE 8 \u2013 Mathematics \u2013 Study \u2013 Premium&#8221; posts_per_page=&#8221;25&#8243;]\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-text-color has-background is-layout-flow wp-block-group-is-layout-flow\" style=\"color:#000000;background-color:#ffffff\">\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"schedule-a-visit\" style=\"font-size:clamp(32.969px, 2.061rem + ((1vw - 3.2px) * 2.552), 59px);px;line-height:1.15\"><span class=\"ez-toc-section\" id=\"Assessments\"><\/span><strong>Assessments<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-small-font-size\" style=\"line-height:.9\"><strong><strong>Personalised Assessments<\/strong><\/strong><\/p>\n\n\n\n<div class=\"wp-block-buttons is-horizontal is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-03627597 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link has-text-color has-background wp-element-button\" style=\"border-radius:50px;color:#ffffff;background-color:#000000\">Assess<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-query alignfull is-layout-flow wp-block-query-is-layout-flow\">\n<div class=\"wp-block-group has-tertiary-background-color has-background has-link-color wp-elements-378df19c0618440cd1651f8e329ee47e is-layout-flow 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