{"id":3427,"date":"2022-01-07T17:35:45","date_gmt":"2022-01-07T17:35:45","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3427"},"modified":"2022-01-07T17:35:45","modified_gmt":"2022-01-07T17:35:45","slug":"what-is-a-proportional-relationship","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/what-is-a-proportional-relationship\/","title":{"rendered":"What is a Proportional Relationship"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h1>What is a Proportional Relationship<\/h1>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A proportional Relationship is a statement that two ratios are equal. It can be written in two ways: as two equal fractions <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{a}{b}=\\frac{c}{d}\" alt=\"\\fn_phv \\frac{a}{b}=\\frac{c}{d}\" align=\"absmiddle\" \/> ; or using a colon, <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;a:b=c:d\" alt=\"\\fn_phv a:b=c:d\" align=\"absmiddle\" \/>.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships\"><strong>Identifying proportional relationships through graphs:<\/strong><\/a><br \/>\nTo determine whether two quantities are proportional, graph the quantities on a coordinate plane. If the graph of the two quantities is a straight line through the origin, then the two quantities are proportional.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><strong>Identifying proportional relationships through tables:<\/strong><\/a><br \/>\nWrite the ratios as fractions and then reduce them.<br \/>\nIf the reduced fractions are the same, the ratios are proportional.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Samuel rode 5 km in a car and then jogged 8 km per hour. The table below shows how many km he traveled for the number of hours given.<\/span><\/strong><br \/>\n<strong>Is the number of km he traveled proportional to the time he traveled?<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><img loading=\"lazy\" class=\"alignnone wp-image-3480 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-32-1-e1638339913852.png\" alt=\"\" width=\"282\" height=\"51\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Determine if the total distance is proportional to the time.<br \/>\nWrite the relationship of the total distance with added hours as a fraction. If proportional, the fractions will be equivalent.<br \/>\nThe ratios are not equal, so the number of km traveled is not proportional to the time.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><img loading=\"lazy\" class=\"alignnone wp-image-3431 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-24.png\" alt=\"\" width=\"371\" height=\"92\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-24.png 371w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-24-300x74.png 300w\" sizes=\"(max-width: 371px) 100vw, 371px\" \/><\/a><br \/>\n<span style=\"color: red;\">Answer: No<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice What is a Proportional Relationship[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">In the following table, are a and b in a proportional relationship?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3433 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-21.png\" alt=\"\" width=\"190\" height=\"253\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Select all the tables which show a and b in a proportional relationship.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3275 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-4.png\" alt=\"\" width=\"295\" height=\"168\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">A plant is 15 cm tall after 1 week, 30 cm tall after two weeks, 46 cm tall after three weeks, and 60 cm tall after week four. Is the plant’s growth proportional to the number of weeks it grew?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><img loading=\"lazy\" class=\"alignnone wp-image-3435 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-12.png\" alt=\"\" width=\"139\" height=\"61\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">On average, Ralph walks at a speed of about 2 meters per second. Graph the relationship between the distance walked and the time spent walking. Is the relationship proportional?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships\"><img loading=\"lazy\" class=\"alignnone wp-image-3437 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-5.png\" alt=\"\" width=\"332\" height=\"415\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-5.png 332w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-5-240x300.png 240w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Proportional<\/strong> – when two quantities have a constant ratio or unit rate.<\/p>\n<p><strong>Non-proportional<\/strong> – when two quantities don\u2019t have a constant ratio or unit rate.<\/p>\n<p><strong>Equivalent ratios<\/strong> – ratios that have the same value.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/understand-ratios\"><span style=\"color: #ed5600;\">Understand Ratios<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratios-and-fractions\"><span style=\"color: #ed5600;\">Ratios and Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-and-write-equivalent-ratio\"><span style=\"color: #ed5600;\">Identify and Write Equivalent Ratio<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/finding-equivalent-ratios-using-tables\"><span style=\"color: #ed5600;\">Finding Equivalent Ratios Using Tables<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635252057543{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/solving-proportions\"><span style=\"color: #333399;\">Solving Proportions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratio-applications\"><span style=\"color: #333399;\">Ratio Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/unit-rate-applications\"><span style=\"color: #333399;\">Unit Rate Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/proportional-relationships-applications\"><span style=\"color: #333399;\">Proportional Relationships Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/unit-rate\"><span style=\"color: #333399;\">Unit Rate<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/dimensional-analysis\"><span style=\"color: #333399;\">Dimensional Analysis<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><span style=\"color: #333399;\">Identifying Proportional Relationships Using a Table<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solving-proportions\"><span style=\"color: #333399;\">Solving Proportions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/constant-rate-of-change\"><span style=\"color: #333399;\">Constant Rate of Change<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/slope\"><span style=\"color: #333399;\">Slope<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/direct-variation\"><span style=\"color: #333399;\">Direct Variation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/changes-in-dimensions\"><span style=\"color: #333399;\">Changes in Dimensions<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Ratios and Proportions” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fratios-and-proportions|title:Ratios%20and%20Proportions||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] What is a Proportional Relationship [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A proportional Relationship is a statement that two ratios are equal. It can be written in two ways: as two equal fractions ; or using a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is a Proportional Relationship | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The term proportional relationship refers to the fact that ratioal relation is when two or more factors are directly proportional or that the amounts increase or decrease in accordance with .....\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/what-is-a-proportional-relationship\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" 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