[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464282-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464282-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","identifying-constant-of-proportionality-tables-answer-key","Identifying Constant of Proportionality (Tables) - Answer Key","","Worksheet and answer key focused on identifying the constant of proportionality in tables where one variable varies directly with another. Each problem gives paired x and y values for real-life contexts such as phone sales, beef jerky, tickets, paint and bird houses, travel time and distance, water use, candy boxes, chicken pieces, and lawns mowed. Students express the relationship as y = kx and the key provides the resulting k values.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/identifying-constant-of-proportionality-tables-answer-key/464282/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/identifying-constant-of-proportionality-tables-answer-key/464282.png","ImageObject",300,407,{"name":42,"@type":43},"Lucas Martin","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the worksheet ask students to determine from each table?","Question",{"text":62,"@type":63},"Students determine the constant of proportionality k that relates y to x in a direct variation problem.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How should each relationship be expressed?",{"text":67,"@type":63},"Each relationship should be written in the form y = kx.",{"name":69,"@type":60,"acceptedAnswer":70},"What does the answer key provide?",{"text":71,"@type":63},"The answer key lists the constant of proportionality values (k) for each table so students can check their answers.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},464282,1790767979,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Identifying Constant of Proportionality (Tables)  \nName:  \n\n| Determine the constant of proportionality for each table. Express your answer as y = kx\u003Cbr>Ex)\u003Cbr>\u003Cbr>Phone Sold (x) 2 5 3 6 4 \u003Cbr>Money Earned (y) 94 235 141 282 188\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>Every phone sold earns  47  dollars.\u003Cbr>\u003Cbr>Pounds of Beef Jerky (x) 2 4 5 8 9 \u003Cbr>Price in dollars (y) 20 40 50 80 90\u003Cbr>For every pound of beef jerky it cost   dollars.\u003Cbr>\u003Cbr>Tickets Sold (x) 4 9 8 5 7 \u003Cbr>Money Earned (y) 48 108 96 60 84\u003Cbr>Every ticket sold   dollars are earned.\u003Cbr>\u003Cbr>Cans of Paint (x) 2 5 6 9 7 \u003Cbr>Bird Houses Painted (y) 8 20 24 36 28\u003Cbr>For every can of paint you could paint   bird houses.\u003Cbr>\u003Cbr>Time in minute (x) 4 3 10 7 9 \u003Cbr>Distance traveled in meters (y) 76 57 190 133 171\u003Cbr>Every minute   meters are travelled.\u003Cbr>\u003Cbr>Time in minute (x) 8 3 6 4 10 \u003Cbr>Gallons of Water Used (y) 240 90 180 120 300\u003Cbr>Every minute   gallons of water are used.\u003Cbr>\u003Cbr>Boxes of Candy (x) 5 9 3 2 6 \u003Cbr>Pieces of Candy (y) 90 162 54 36 108\u003Cbr>For every box of candy you get   pieces.\u003Cbr>\u003Cbr>Pieces of Chicken (x) 3 10 7 9 4 \u003Cbr>Price in dollars (y) 6 20 14 18 8\u003Cbr>For each piece of chicken it costs   dollars.\u003Cbr>\u003Cbr>Lawns Mowed (x) 7 6 2 9 3 \u003Cbr>Dollars Earned (y) 294 252 84 378 126\u003Cbr>For every lawn mowed   dollars were earned. |  |  | Answers\u003Cbr>Ex.  y = 47x \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-8 | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nIdentifying Constant of Proportionality (Tables)  \nName: Answer Key  \n\n| Determine the constant of proportionality for each table. Express your answer as y = kx\u003Cbr>Ex)\u003Cbr>\u003Cbr>Phone Sold (x) 2 5 3 6 4 \u003Cbr>Money Earned (y) 94 235 141 282 188\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>Every phone sold earns  47  dollars.\u003Cbr>\u003Cbr>Pounds of Beef Jerky (x) 2 4 5 8 9 \u003Cbr>Price in dollars (y) 20 40 50 80 90\u003Cbr>For every pound of beef jerky it cost  10  dollars.\u003Cbr>\u003Cbr>Tickets Sold (x) 4 9 8 5 7 \u003Cbr>Money Earned (y) 48 108 96 60 84\u003Cbr>Every ticket sold  12  dollars are earned.\u003Cbr>\u003Cbr>Cans of Paint (x) 2 5 6 9 7 \u003Cbr>Bird Houses Painted (y) 8 20 24 36 28\u003Cbr>For every can of paint you could paint  4  bird houses.\u003Cbr>\u003Cbr>Time in minute (x) 4 3 10 7 9 \u003Cbr>Distance traveled in meters (y) 76 57 190 133 171\u003Cbr>Every minute  19  meters are travelled.\u003Cbr>\u003Cbr>Time in minute (x) 8 3 6 4 10 \u003Cbr>Gallons of Water Used (y) 240 90 180 120 300\u003Cbr>Every minute  30  gallons of water are used.\u003Cbr>\u003Cbr>Boxes of Candy (x) 5 9 3 2 6 \u003Cbr>Pieces of Candy (y) 90 162 54 36 108\u003Cbr>For every box of candy you get  18  pieces.\u003Cbr>\u003Cbr>Pieces of Chicken (x) 3 10 7 9 4 \u003Cbr>Price in dollars (y) 6 20 14 18 8\u003Cbr>For each piece of chicken it costs  2  dollars.\u003Cbr>\u003Cbr>Lawns Mowed (x) 7 6 2 9 3 \u003Cbr>Dollars Earned (y) 294 252 84 378 126\u003Cbr>For every lawn mowed  42  dollars were earned. |  |  | Answers Ex.  y = 47x  1.  y = 10x  2.  y = 12x  3.  y = 4x  4.  y = 19x  5.  y = 30x  6.  y = 18x  7.  y = 2x  8.  y = 42x  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-8 | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nIdentifying Constant of Proportionality (Tables)  \nName:  \n\n| Determine the constant of proportionality for each table. Express your answer as y = kx\u003Cbr>\u003Cbr>y = 4x y = 30x y = 12x y = 19x\u003Cbr>y = 10x\u003Cbr>Ex)\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>\u003Cbr>Phone Sold (x) 2 5 3 6 4 \u003Cbr>Money Earned (y) 94 235 141 282 188\u003Cbr>Every phone sold earns  47  dollars.\u003Cbr>\u003Cbr>Pounds of Beef Jerky (x) 2 4 5 8 9 \u003Cbr>Price in dollars (y) 20 40 50 80 90\u003Cbr>For every pound of beef jerky it cost   dollars.\u003Cbr>\u003Cbr>Tickets Sold (x) 4 9 8 5 7 \u003Cbr>Money Earned (y) 48 108 96 60 84\u003Cbr>Every ","cbCaivEQ8A8sWdrj","https://ap.wps.com/l/cbCaivEQ8A8sWdrj","pdf",68230,"English","# Determine the constant of proportionality - Tables\n## Express each relationship as y = kx","[{\"question\":\"What does the worksheet ask students to determine from each table?\",\"answer\":\"Students determine the constant of proportionality k that relates y to x in a direct variation problem.\"},{\"question\":\"How should each relationship be expressed?\",\"answer\":\"Each relationship should be written in the form y = kx.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the constant of proportionality values (k) for each table so students can check their answers.\"}]","Identifying Constant of Proportionality (Tables) - Answer Key | PDF"]