{"id":3765,"date":"2022-01-28T19:10:18","date_gmt":"2022-01-28T19:10:18","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3765"},"modified":"2022-03-03T15:26:38","modified_gmt":"2022-03-03T15:26:38","slug":"proportional-relationship-on-a-graph","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/proportional-relationship-on-a-graph\/","title":{"rendered":"Proportional Relationship on a Graph"},"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
Proportional Relationship on a Graph<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A proportion is a statement that two ratios are equal. It can be written in two ways: as two equal fractions \"\\fn_phv ; or using a colon, \"\\fn_phv.
\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Identifying proportional relationships through graphs:<\/strong><\/a>
\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

Identifying proportional relationships through tables:<\/strong><\/a>
\nWrite the ratios as fractions and then reduce them.
\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]Which line represents a proportional relationship?<\/span><\/strong>
\n<\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. If the graph is a straight line through the origin, then it represents a proportional relationship.
\na. Graph A is a straight line and goes through the origin, so it represents a proportional relationship.
\nb. Graph B is a straight line but does not go through the origin, so it does not represent a proportional relationship.
\nAnswer: A<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Proportional Relationship on a Graph[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 1<\/h5>\n

Which line represents a proportional relationship?<\/span><\/strong>
\n\"Proportional<\/a><\/p>\n[\/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_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 2<\/h5>\n

In the following table, are a and b in a proportional relationship?<\/span><\/strong>
\n\"Proportional<\/a><\/p>\n[\/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

Practice Problem 3<\/h5>\n

The ratio of chocolates and ice-creams in the boxes is given in the table below. Is the number of chocolates proportional to the number of ice-creams in each box?<\/span><\/strong>
\n\"Proportional<\/a><\/p>\n[\/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

Practice Problem 4<\/h5>\n

Select all the tables which show a and b in a proportional relationship.<\/span><\/strong>
\n\"Proportional<\/a><\/p>\n[\/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_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]Proportional<\/strong> – when two quantities have a constant ratio or unit rate.<\/p>\n

Non-proportional<\/strong> – when two quantities don\u2019t have a constant ratio or unit rate.<\/p>\n

Equivalent ratios<\/strong> – ratios that have the same value.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]Pre-requisite Skills<\/strong><\/span>
\nUnderstand Ratios<\/span><\/a>
\nRatios and Fractions<\/span><\/a>
\nIdentify and Write Equivalent Ratio<\/span><\/a>
\nFinding Equivalent Ratios Using Tables<\/span><\/a><\/p>\n[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635246085464{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;}”]Related Skills<\/strong><\/span>
\nSolving Proportions<\/span><\/a>
\nRatio Applications<\/span><\/a>
\nUnit Rate Applications<\/span><\/a>
\nProportional Relationships Applications<\/span><\/a>
\nUnit Rate<\/span><\/a>
\nDimensional Analysis<\/span><\/a>
\nIdentifying Proportional Relationships Using a Table<\/span><\/a>
\nSolving Proportions<\/span><\/a>
\nConstant Rate of Change<\/span><\/a>
\nSlope<\/span><\/a>
\nDirect Variation<\/span><\/a>
\nChanges 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":"

[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] Proportional Relationship on a Graph [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A proportion is a statement that two ratios are equal. It can be written in two ways: as two equal fractions ; or using a colon, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\nProportional Relationship on a Graph | Oryx Learning<\/title>\n<meta name=\"description\" content=\"A proportion is a statement that two ratios are equal. 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