[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359221-105":59,"doc-detail-359221-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","graphing-equivalent-ratios-b","Graphing Equivalent Ratios - B","","This educational worksheet provides students with practice in graphing equivalent ratios on a coordinate plane. The document features three distinct mathematical problems involving real-world scenarios: water usage over time, hourly earnings, and wheel rotations over distance. Students are tasked with plotting data points from tables, evaluating if the points form a straight line through the origin, and interpreting these results to understand the nature of equivalent ratios and unit rates in a mathematical context.",{"@graph":69,"@context":122},[70,84,105],{"@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/graphing-equivalent-ratios-b/359221/",{"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/graphing-equivalent-ratios-b/359221.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What property do equivalent ratios exhibit when plotted on a coordinate plane?","Question",{"text":112,"@type":113},"Equivalent ratios always form a straight line that passes through the origin (0, 0).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How can the unit rate be determined from the steepness of the line?",{"text":117,"@type":113},"The steeper the line plotted on the coordinate plane, the greater the unit rate of the ratio.",{"name":119,"@type":110,"acceptedAnswer":120},"What are the three specific scenarios provided for practice in this worksheet?",{"text":121,"@type":113},"The scenarios include tracking water usage over time, calculating worker earnings per hour, and measuring wheel rotations over a specific distance.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},359221,1790191994,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39,"preview_page_count":8,"preview_urls":144},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:     \nGraphing Equivalent Ratios ( B)  \nDirections: For each problem: plot the points from the table on the coordinate plane, then answer the questions below.  \nRemember: Equivalent ratios always form a straight line that passes through the origin (0, 0) . The steeper the line, the greater the unit rate.  \nProblem 1: The table shows the number of gallons of water used over time.  \n\n| Time\u003Cbr>(minutes) | 0 | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- | --- |\n| Water Used (gallons) | 0 | 3 | 6 | 9 | 12 |\n\na) Do the points form a straight line?   b) Does the line pass through the origin (0, 0)?    \nc) What does this tell you about the ratios in the table?  \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)  \nProblem 2: The table shows the earnings of a worker by the hour.  \n\n| Hours Worked | 0 | 1 | 2 | 3 | 4 |\n| --- | --- | --- | --- | --- | --- |\n| Earnings ($) | 0 | 8 | 16 | 24 | 32 |\n\nA) Do the points form a straight line?    \nB) Does the line pass through the origin (0,0)?_____  \nC) What does this tell you about the ratios in the table?  \nProblem 3: The table shows the number of rotations a wheel makes over distance.  \n| Distance (feet) | 0 | 3 | 6 | 9 | 12 |\n| --- | --- | --- | --- | --- | --- |\n| Rotations | 0 | 2 | 4 | 6 | 8 |\n\nA) Do the points form a straight line?    \nB) Does the line pass through the origin (0,0)?_____  \nC) What does this tell you about the ratios in the  \ntable?  \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  \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)","cbCaicSoSwGt1u4R","https://ap.wps.com/l/cbCaicSoSwGt1u4R","pdf",2098142,"English","# Problem 1: Water Usage Analysis\n## Graphing and Interpretation\n# Problem 2: Hourly Earnings Analysis\n## Graphing and Interpretation\n# Problem 3: Wheel Rotations Analysis\n## Graphing and Interpretation","[{\"question\":\"What property do equivalent ratios exhibit when plotted on a coordinate plane?\",\"answer\":\"Equivalent ratios always form a straight line that passes through the origin (0, 0).\"},{\"question\":\"How can the unit rate be determined from the steepness of the line?\",\"answer\":\"The steeper the line plotted on the coordinate plane, the greater the unit rate of the ratio.\"},{\"question\":\"What are the three specific scenarios provided for practice in this worksheet?\",\"answer\":\"The scenarios include tracking water usage over time, calculating worker earnings per hour, and measuring wheel rotations over a specific distance.\"}]","Graphing Equivalent Ratios - B | PDF",1790136456,[145],{"page_no":8,"url":146,"width":147,"height":148},"https://res-academy.cache.wpscdn.com/upload/kdocshare/2026-11-08/4001f44708bebb11bc04832f76a73241.webp",983,1272]