{"id":292,"date":"2022-04-13T08:58:21","date_gmt":"2022-04-13T08:58:21","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=292"},"modified":"2024-10-21T11:37:52","modified_gmt":"2024-10-21T11:37:52","slug":"s-4-write-direct-variation-equations","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/s-4-write-direct-variation-equations\/","title":{"rendered":"S.4 Write direct variation equations"},"content":{"rendered":"\n

Write direct variation equations<\/strong><\/h2>\n\n\n\n

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

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Direct variation<\/strong> can be represented by the equation y<\/em> = kx<\/em>.<\/p>\n\n\n\n

The variable k<\/em> is known as the constant of variation<\/strong>, and it cannot equal zero.<\/p>\n\n\n\n

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

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In a direct variation, y<\/em> = 8 when x<\/em> =2. Write a direct variation equation that shows the relationship between x and y.<\/strong><\/p>\n\n\n\n

Write your answer as an equation with\u00a0<\/em>y\u00a0first, followed by an equals sign.<\/em>_________<\/p>\n<\/div><\/div>\n\n\n\n

First find the constant of variation. Plug x<\/em> = 2 and y<\/em> =8 into the direct variation equation and then solve for k.<\/p>\n\n\n\n


y<\/em> = kx<\/em>
8 = k<\/em>(2)
4 = k<\/em><\/p>\n\n\n\n

Now use k<\/em>=4 to write the direct variation equation.<\/p>\n\n\n\n

y<\/em> = kx<\/em>
y<\/em> = 4x<\/em><\/p>\n\n\n\n

The direct variation equation is y<\/em> = 4x<\/em>.<\/p>\n<\/div><\/div>\n\n\n\n

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In a direct variation, y<\/em> = 16 when x<\/em> =8. Write a direct variation equation that shows the relation ship between x<\/em> and y<\/strong>.<\/p>\n\n\n\n

Write your answer as an equation with\u00a0<\/em>y\u00a0first, followed by an equals sign.<\/em>_________<\/p>\n<\/div><\/div>\n\n\n\n

First find the constant of variation. Plug x<\/em> = 8 and y<\/em> =16 into the direct variation equation and then solve for k.<\/p>\n\n\n\n

y<\/em> = kx<\/em>
16 = k<\/em>(8)
2 = k<\/em><\/p>\n\n\n\n

Now use k<\/em>=2 to write the direct variation equation.<\/p>\n\n\n\n

y<\/em> = kx<\/em>
y<\/em> = 2x<\/em><\/p>\n\n\n\n

The direct variation equation is y<\/em> = 2x<\/em>.<\/p>\n<\/div><\/div>\n\n\n\n

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In a direct variation, y<\/em> = 10 when x<\/em> =5. Write a direct variation equation that shows the relation ship between x<\/em> and y.<\/strong><\/p>\n\n\n\n

Write your answer as an equation with\u00a0<\/em>y\u00a0first, followed by an equals sign.<\/em>_________<\/p>\n<\/div><\/div>\n\n\n\n

First find the constant of variation. Plug x<\/em> = 5 and y<\/em> =10 into the direct variation equation and then solve for k.<\/p>\n\n\n\n

y<\/em> = kx<\/em>
10 = k<\/em>(5)
2 = k<\/em><\/p>\n\n\n\n

Now use k<\/em>=2 to write the direct variation equation.<\/p>\n\n\n\n

y<\/em> = kx<\/em>
y<\/em> = 2x<\/em><\/p>\n\n\n\n

The direct variation equation is y<\/em> = 2x<\/em>.<\/p>\n<\/div><\/div>\n\n\n\n

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

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

Write direct variation equations Key Notes: Direct variation can be represented by the equation y = kx. The variable k is known as the constant of variation, and it cannot equal zero. Learn with an example In a direct variation, y = 8 when x =2. Write a direct variation equation that shows the relationship between x and y. Write your answerContinue reading “S.4 Write direct variation equations”<\/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-292","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/292","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=292"}],"version-history":[{"count":15,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/292\/revisions"}],"predecessor-version":[{"id":15632,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/292\/revisions\/15632"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}