{"id":181,"date":"2022-04-12T12:24:26","date_gmt":"2022-04-12T12:24:26","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=181"},"modified":"2023-12-01T09:33:44","modified_gmt":"2023-12-01T09:33:44","slug":"i-3-identify-proportional-relationships-by-graphing","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/i-3-identify-proportional-relationships-by-graphing\/","title":{"rendered":"I.3 Identify proportional relationships by graphing"},"content":{"rendered":"\n

Identify proportional relationships by graphing<\/h2>\n\n\n\n

Key Notes:<\/strong><\/p>\n\n\n\n

The graph of a proportional relationship between x and y is a straight line passing through the origin, (0,0).<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
\n

\ud83d\udd25As a young girl, Evelyn enjoyed watching her father make things in his woodworking shop. Now that she’s grown up, Evelyn builds wooden furniture for a living. Her most popular product is a cedar porch swing. It takes Evelyn 3 days to build 1 swing. It takes her 9 days to build 3 swings.<\/p>\n\n\n\n

In this relationship, x represents the time (in days) Evelyn spends making porch swings, and y represents the number of swings she builds.<\/p>\n\n\n\n

Graph two points for this relationship and the line passing through them.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

According to the graph, do x and y have a proportional relationship?<\/p>\n\n\n\n

yes______<\/p>\n\n\n\n

no______<\/p>\n<\/div><\/div>\n\n\n\n

To find two points for this relationship, look for clues in the problem related to x<\/em>-and y<\/em>-values.<\/p>\n\n\n\n

As a young girl, Evelyn enjoyed watching her father make things in his woodworking shop. Now that she’s grown up, Evelyn builds wooden furniture for a living. Her most popular product is a cedar porch swing. It takes Evelyn 3 days<\/strong> to build 1 swing<\/strong>.It takes her 9 days<\/strong> to build 3 swings<\/strong>.<\/p>\n\n\n\n

In this relationship, x represents the time (in days<\/strong>) Evelyn spends making porch swings, and y represents the number of swings<\/strong> she builds<\/p>\n\n\n\n

The problem describes the points (3<\/strong>, 1<\/strong>) and (9<\/strong>, 3<\/strong>). Plot these points on the graph.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

To determine whether x<\/em> and y<\/em> have a proportional relationship, see if the line through these points passes through the origin, (0, 0).<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

The points are on a line that passes through the origin. So, x<\/em> and y<\/em> have a proportional relationship.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\udd25Every day after school, Quinn and his sister Layla play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. Today, Quinn defeated 2 goblins and earned 4 power points. Layla defeats 5 goblins and earns 10 power points.<\/p>\n\n\n\n

In this relationship, x represents the number of goblins defeated, and y represents the number of power points earned.<\/p>\n\n\n\n

Graph two points for this relationship and the line passing through them.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

According to the graph, do x and y have a proportional relationship?<\/p>\n\n\n\n

yes_____<\/p>\n\n\n\n

no_____<\/p>\n<\/div><\/div>\n\n\n\n

To find two points for this relationship, look for clues in the problem related to x<\/em>– and y<\/em>-values.<\/p>\n\n\n\n

Every\u00a0day after school, Quinn and his sister Layla play their favorite video game,\u00a0Wizarding\u00a0Legends. The goal of the game is to earn power points by defeating goblins. Today, Quinn defeats\u00a02\u00a0goblins<\/strong>\u00a0and earned\u00a04\u00a0power\u00a0points<\/strong>.\u00a0Layla defeats\u00a05\u00a0goblins<\/strong>\u00a0and earns\u00a010\u00a0power\u00a0points<\/strong>.<\/p>\n\n\n\n

In this relationship, x represents the number of goblins<\/strong> defeated, and y represents the number of power points<\/strong> earned.<\/p>\n\n\n\n

The problem describes the points (2<\/strong>, 4<\/strong>) and (5<\/strong>, 10<\/strong>). Plot these points on the graph.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

To determine whether x<\/em> and y<\/em> have a proportional relationship, see if the line through these points passes through the origin, (0, 0).<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

The points are on a line that passes through the origin. So, x<\/em> and y<\/em> have a proportional relationship.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\udd25Harvey has outgrown the bike he rode when he was small. So, for his twelfth birthday, his parents surprised him with a five-speed Blaze Rider 2000! Harvey has never had a bike with multiple speeds before, and he is eager to learn how it works. He starts by testing the middle speed. When he pedals 1 time, the wheels rotate 1 time. When he pedals 10 times, the wheels rotate 10 times.<\/p>\n\n\n\n

In this relationship, x represents the number of times Harvey pedals, and y represents the number of times the wheels rotate.<\/p>\n\n\n\n

Graph two points for this relationship and the line passing through them.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

According to the graph, do x and y have a proportional relationship?<\/p>\n\n\n\n

yes______<\/p>\n\n\n\n

no______<\/p>\n<\/div><\/div>\n\n\n\n

To find two points for this relationship, look for clues in the problem related to x<\/em>– and y<\/em>-values.<\/p>\n\n\n\n

Harvey has outgrown the bike he rode when he was small. So, for his twelfth birthday, his parents surprise him with a five-speed Blaze Rider 2000! Harvey has never had a bike with multiple speeds before, and he is eager to learn how it works. He starts by testing the middle speed. When he pedals 1 time<\/strong>, the wheels rotate 1 time<\/strong>. When he pedals 10 times<\/strong>, the wheels rotate 10 times<\/strong>.<\/p>\n\n\n\n

In this relationship, x represents the number of times Harvey pedals<\/strong>, and y represents the number of times the wheels rotate<\/strong>.<\/p>\n\n\n\n

The problem describes the points (1<\/strong>, 1<\/strong>) and (10<\/strong>, 10<\/strong>). Plot these points on the graph.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

To determine whether x<\/em> and y<\/em> have a proportional relationship, see if the line through these points passes through the origin, (0, 0).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The points are on a line that passes through the origin. So, x<\/em> and y<\/em> have a proportional relationship.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

\n
\n
\"\"<\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Identify proportional relationships by graphing Key Notes: The graph of a proportional relationship between x and y is a straight line passing through the origin, (0,0). Learn with an example \ud83d\udd25As a young girl, Evelyn enjoyed watching her father make things in his woodworking shop. Now that she’s grown up, Evelyn builds wooden furniture for a living. Her most popular product isContinue reading “I.3 Identify proportional relationships by graphing”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-181","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/181","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=181"}],"version-history":[{"count":24,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/181\/revisions"}],"predecessor-version":[{"id":14089,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/181\/revisions\/14089"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}