[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360717-105":59,"doc-detail-360717-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","identifying-proportional-relationships-in-tables-b-proportional-relationship-tables-worksheet","Identifying Proportional Relationships in Tables (B) - Proportional Relationship Tables Worksheet","","Worksheet on identifying proportional relationships using tables. Students apply the rule that a relationship is proportional when y/x is the same constant k for every pair of values, checking each table by computing y ÷ x. Part 1 asks for proportional or not proportional for multiple contexts (e.g., days and pages, gallons and miles, hours and distance), while Part 2 requires determining proportionality and, when proportional, finding the constant of proportionality k. An answer key provides y/x results and k values.",{"@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/identifying-proportional-relationships-in-tables-b-proportional-relationship-tables-worksheet/360717/",{"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/identifying-proportional-relationships-in-tables-b-proportional-relationship-tables-worksheet/360717.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What test determines whether a relationship is proportional in the tables?","Question",{"text":113,"@type":114},"Compute y ÷ x for each pair. If all quotients match, the relationship is proportional; if any quotient differs, it is not proportional.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"If a relationship is proportional, what does k represent?",{"text":118,"@type":114},"k is the constant of proportionality, equal to the shared value of y/x for every pair in the table.",{"name":120,"@type":111,"acceptedAnswer":121},"What does the worksheet ask students to do for Part 1 versus Part 2?",{"text":122,"@type":114},"Part 1 asks students to decide whether each table is proportional. Part 2 asks students to determine proportionality and, when proportional, find k.","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},360717,1790459845,{"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},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name:  \n______________________________________  \nIdentifying Proportional Relationships in Tables (B)  \nRemember: A relationship is proportional if y/x is the same constant for every pair. Check every pair: divide y by x. If all answers match, it IS proportional. If any answer is different, it is NOT proportional. The constant ratio is k, the constant of proportionality.  \nDirections: For each table, determine whether the relationship is proportional. Show your work by computing y ÷ x for each pair.  \nPart 1—Is it Proportional?  \n1.) Days and pages read  \n| x | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- |\n| y | 5 | 10 | 15 | 20 |\n\nShow work (y ÷ x):   Proportional?    \n2.) Gallons and miles  \n\n| x | 2 | 4 | 6 | 8 |\n| --- | --- | --- | --- | --- |\n| y | 3 | 6 | 9 | 12 |\n\nShow work (y ÷ x):   Proportional?    \n3.) Hours and distance  \n\n| x | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- |\n| y | 1 | 3 | 5 | 7 |\n\nShow work (y ÷ x):    \nProportional?    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n4.) Feet and meters  \n\n| x | 4 | 8 | 12 | 16 |\n| --- | --- | --- | --- | --- |\n| y | 3 | 6 | 9 | 12 |\n\nShow work (y ÷ x):   Proportional?    \n5.) Items and cost  \n\n| x | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- |\n| y | 6 | 11 | 16 | 21 |\n\nShow work (y ÷ x):   Proportional?    \n6.) Minutes and words  \n\n| x | 3 | 6 | 9 | 12 |\n| --- | --- | --- | --- | --- |\n| y | 4 | 8 | 12 | 16 |\n\nShow work (y ÷ x):   Proportional?    \n7.) Ounces and cost ($)  \n\n| x | 10 | 20 | 30 | 40 |\n| --- | --- | --- | --- | --- |\n| y | 6 | 12 | 18 | 24 |\n\nShow work (y ÷ x):    \nProportional?    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n8.) Hours and earnings  \n\n| x | 2 | 4 | 6 | 8 |\n| --- | --- | --- | --- | --- |\n| y | 5 | 9 | 13 | 17 |\n\nShow work (y ÷ x):   Proportional?    \nPart 2—Proportional? If Yes, Find k  \n9.) Minutes and calories burned  \n\n| x | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- |\n| y | 8 | 16 | 24 | 32 |\n\nShow work (y ÷ x):   Proportional?   If yes, k =    \n10.) Cups flour and eggs  \n\n| x | 3 | 6 | 9 | 12 |\n| --- | --- | --- | --- | --- |\n| y | 2 | 4 | 6 | 8 |\n\nShow work (y ÷ x):   Proportional?   If yes, k =    \n11.) Days and total steps  \n\n| x | 2 | 4 | 6 | 8 |\n| --- | --- | --- | --- | --- |\n| y | 7 | 13 | 19 | 25 |\n\nShow work (y ÷ x):    \nProportional?   If yes, k =    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n12.) Minutes and miles  \n\n| x | 5 | 10 | 15 | 20 |\n| --- | --- | --- | --- | --- |\n| y | 2 | 4 | 6 | 8 |\n\nShow work (y ÷ x):   Proportional?   If yes, k =    \n13.) Batches and cups sugar  \n\n| x | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- |\n| y | 4 | 9 | 14 | 19 |\n\nShow work (y ÷ x):   Proportional?   If yes, k =    \n14.) Seconds and heartbeats  \n\n| x | 2 | 4 | 6 | 8 |\n| --- | --- | --- | --- | --- |\n| y | 9 | 18 | 27 | 36 |\n\nShow work (y ÷ x):   Proportional?   If yes, k =    \n15.) Pounds and cost ($)  \n\n| x | 4 | 8 | 12 | 16 |\n| --- | --- | --- | --- | --- |\n| y | 6 | 12 | 18 | 24 |\n\nShow work (y ÷ x):    \nProportional?   If yes, k =    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nPart 1:  \n1.) y÷x: 5 5 5 5 → Yes—y/x = 5 for all pairs  \n2.) y÷x: 3/2 3/2 3/2 3/2 → Yes—y/x = 3/2 for all pairs  \n3.) y÷x: 1 3/2 5/3 7/4 → No—y/x varies: 1, 3/2, 5/3, 7/4  \n4.) y÷x: 3/4 3/4 3/4 3/4 → Yes—y/x = 3/4 for all pairs  \n5.) y÷x: 6 11/2 16/3 21/4 → No—y/x varies  \n6.) y÷x: 4/3 4/3 4/3 4/3 → Yes—y/x = 4/3 for all pairs  \n7.) y÷x: 3/5 3/5 3/5 3/5 → Yes—y/x = 3/5 for all pairs  \n8.) y÷x: 5/2 9/4 13/6 17/8 → No—y/x varies  \nPart 2: ","cbCaikrw14Wr9DzA","https://ap.wps.com/l/cbCaikrw14Wr9DzA","pdf",1347400,"English","# Part 1—Is it Proportional?\n## Days and pages read\n## Gallons and miles\n## Hours and distance\n## Feet and meters\n## Items and cost\n## Minutes and words\n## Ounces and cost\n## Hours and earnings\n# Part 2—Proportional? If Yes, Find k\n## Minutes and calories burned\n## Cups flour and eggs\n## Days and total steps\n## Minutes and miles\n## Batches and cups sugar\n## Seconds and heartbeats\n## Pounds and cost","[{\"question\":\"What test determines whether a relationship is proportional in the tables?\",\"answer\":\"Compute y ÷ x for each pair. If all quotients match, the relationship is proportional; if any quotient differs, it is not proportional.\"},{\"question\":\"If a relationship is proportional, what does k represent?\",\"answer\":\"k is the constant of proportionality, equal to the shared value of y/x for every pair in the table.\"},{\"question\":\"What does the worksheet ask students to do for Part 1 versus Part 2?\",\"answer\":\"Part 1 asks students to decide whether each table is proportional. Part 2 asks students to determine proportionality and, when proportional, find k.\"}]","Identifying Proportional Relationships in Tables (B) - Proportional Relationship Tables Worksheet | PDF",1790141304,13]