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Each item requires writing the proportional relationship equation y = kx, then using it to determine missing values in partially filled tables. The document includes part-by-part sections: completing tables in Parts 1 and 2 and solving related proportional word problems in Part 3, plus a provided answer key to verify results.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/constant-of-proportionality-from-tables-b-find-k-and-write-equations/360391/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/constant-of-proportionality-from-tables-b-find-k-and-write-equations/360391.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find the constant of proportionality k for a table?","Question",{"text":113,"@type":114},"Use k = y ÷ x. Divide any y-value by its corresponding x-value; all pairs give the same k.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What equation should you write for proportional relationships?",{"text":118,"@type":114},"Write the equation y = kx, where k is the constant of proportionality.",{"name":120,"@type":111,"acceptedAnswer":121},"What do you do when the table has missing y-values or x-values?",{"text":122,"@type":114},"Use y = kx and substitute the known value to solve for the missing entries, then complete the table consistently.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},360391,1790198170,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},549768702563,"https://ap-avatar.wpscdn.com/avatar/8000c4aa63b76e948b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786536092046926083","Name:  \n   \n# Constant of Proportionality — From Tables (B)\n\nRemember: The constant of proportionality k = y ÷ x. Find k by dividing any y-value by its x-value — allpairs give the same k. Write the equation: y = kx. Use the equation to find unknown values by substitutingand solving.  \nDirections: Find the constant of proportionality (k) for each table. Write y = kx.  \n## Part 1 — Find k and Write the Equation\n\n### 1.) Days and pages read\n\n| x   | 1   | 2   | 3   | 4   |\n| --- | --- | --- | --- | --- |\n| y   | 9   | 18   | 27   | 36   |\n\nk =   Equation: y =    \n### 2.) Feet and meters\n\n\n| x   | 3   | 6   | 9   | 12   |\n| --- | --- | --- | --- | --- |\n| y   | 2   | 4   | 6   | 8   |\n\nk =   Equation: y =    \n### 3.) Batches and cups of sugar\n\n\n| x   | 2   | 4   | 6   | 8   |\n| --- | --- | --- | --- | --- |\n| y   | 7   | 14   | 21   | 28   |\n\nk =   Equation: y =    \n### 4.) Hours and km traveled\n\n\n| x   | 1   | 2   | 3   | 4   |\n| --- | --- | --- | --- | --- |\n| y   | 6   | 12   | 18   | 24   |\n\nk =   Equation: y =    \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \n### 5.) Ounces and cost ($)\n\n\n| x   | 5   | 10   | 15   | 20   |\n| --- | --- | --- | --- | --- |\n| y   | 3   | 6   | 9   | 12   |\n\nk =   Equation: y =    \n### 6.) Steps and miles\n\n\n| x   | 4   | 8   | 12   | 16   |\n| --- | --- | --- | --- | --- |\n| y   | 1   | 2   | 3   | 4   |\n\nk =   Equation: y =    \n### 7.) Laps and calories burned\n\n\n| x   | 1   | 2   | 3   | 4   |\n| --- | --- | --- | --- | --- |\n| y   | 5   | 10   | 15   | 20   |\n\nk =   Equation: y =    \n### 8.) Pages and minutes\n\n\n| x   | 6   | 12   | 18   | 24   |\n| --- | --- | --- | --- | --- |\n| y   | 4   | 8   | 12   | 16   |\n\nk =   Equation: y =    \nPart 2 — Find k and Complete the Table  \n### 9.) Hours and earnings ($)\n\n| x   | 1   | 2   | 3   | 4   |\n| --- | --- | --- | --- | --- |\n| y   |     | 14   |     | 28   |\n\nk =   Missing values:    \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \n### 10.) Gallons and miles\n\n\n| x   | 2   | 4   | 6   | 8   |\n| --- | --- | --- | --- | --- |\n| y   | 3   |     | 9   |     |\n\nk =   Missing values:    \n### 11.) Ounces and cost ($)\n\n\n| x   | 5   | 10   | 15   | 20   |\n| --- | --- | --- | --- | --- |\n| y   |     | 6   |     | 12   |\n\nk =   Missing values:    \n### 12.) Days and pages read\n\n\n| x   | 1   | 2   | 3   | 4   |\n| --- | --- | --- | --- | --- |\n| y   | 9   |     |     | 36   |\n\nk =   Missing values:    \nPart 3 — Word Problems  \n### 13.) A bike rental costs $4/hr. x=hours, y=cost ($) .\n\n\n| x   | 1   | 2   | 3   | 4   |\n| --- | --- | --- | --- | --- |\n| y   | 4   | 8   | 12   | 16   |\n\nk =   Equation: y =    \nCost for 6 hours?    \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \n### 14.) x=gallons of gas, y=miles driven.\n\n\n| x   | 2   | 4   | 6   | 8   |\n| --- | --- | --- | --- | --- |\n| y   | 5   | 10   | 15   | 20   |\n\nk =   Equation: y =    \nMiles on 7 gallons?  15.) x=minutes, y=words typed.  \n\n| x   | 3   | 6   | 9   | 12   |\n| --- | --- | --- | --- | --- |\n| y   | 8   | 16   | 24   | 32   |\n\nk =   Equation: y =    \nWords in 15 minutes?    \n16.) Challenge Problem  \nA runner tracks her speed: (2 mi, 16 min), (3 mi, 24 min), (5 mi, 40 min) .  \na) Is this proportional? Find k and write the equation (x=miles, y=minutes) .  \nb) At this rate, how many minutes to run a 10-mile race?  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \n## ANSWER KEY\n\n### Part 1:\n\n1.) k = 9  \n2.) k = 3.) k =   \n4.) k = 6  \nPart 2:  \n9.) k = 7  \n10.) k =   \n### Part 3:\n\ny = 9x  \ny = x  \ny = x  \ny = 6x  \nMissing: 7 | 21  \nMissing: 6 | 12  \n\n| 5.) k =   \u003Cbr>6.) k =   \u003Cbr>7.) k = 5  \u003Cbr>8.) k =    | y = xy = x  \u003Cbr>y = 5x  \u003Cbr>y = x   |\n| --- | --- |\n\n11.) k =  Missing: 3 | 9  \n12.) k = 9 Missing: 18 | 27  \n13.) k = 4 y=4(6)=$24  \n14.) k =  y=5/2(7)=17.5 miles  \n15.) k =  y=8/3(15)=40 words  \nChallenge: a) y/x: 16/2","cbCairyX5zKz5D7B","https://ap.wps.com/l/cbCairyX5zKz5D7B","pdf",1166234,"English","# Part 1 — Find k and Write the Equation\n## 1.) Days and pages read\n## 2.) Feet and meters\n## 3.) Batches and cups of sugar\n## 4.) Hours and km traveled\n## 5.) Ounces and cost ($)\n## 6.) Steps and miles\n## 7.) Laps and calories burned\n## 8.) Pages and minutes\n# Part 2 — Find k and Complete the Table\n## 9.) Hours and earnings ($)\n## 10.) Gallons and miles\n## 11.) Ounces and cost ($)\n## 12.) Days and pages read\n# Part 3 — Word Problems\n## 13.) A bike rental costs $4/hr.\n## 14.) x=gallons of gas, y=miles driven.\n## 15.) x=minutes, y=words typed.\n## 16.) Challenge Problem","[{\"question\":\"How do you find the constant of proportionality k for a table?\",\"answer\":\"Use k = y ÷ x. Divide any y-value by its corresponding x-value; all pairs give the same k.\"},{\"question\":\"What equation should you write for proportional relationships?\",\"answer\":\"Write the equation y = kx, where k is the constant of proportionality.\"},{\"question\":\"What do you do when the table has missing y-values or x-values?\",\"answer\":\"Use y = kx and substitute the known value to solve for the missing entries, then complete the table consistently.\"}]","Constant of Proportionality — From Tables (B) - Find k and Write Equations | PDF",1790139908,13]