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The worksheet asks for an equation modeling y in terms of distance, number of items, or sessions, and the answer key supplies the corresponding linear expressions.",{"@graph":14,"@context":73},[15,34,56],{"@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/writing-linear-models-from-situations-answer-key/485371/",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/writing-linear-models-from-situations-answer-key/485371.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to do in these problems?","Question",{"text":63,"@type":64},"Students write a linear equation that models each described situation, expressing y in terms of x for the given quantities.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of real-world scenarios are included?",{"text":68,"@type":64},"The problems cover taxi fares, landscaping services, food truck profit, tutoring costs, poster sales, bracelet profits, snow cone profits, and bakery earnings.",{"name":70,"@type":61,"acceptedAnswer":71},"Where can the correct equations be found?",{"text":72,"@type":64},"The answer key lists the correct equations for items 1 through 12.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},485371,1790881772,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"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":143,"read_time":111,"preview_page_count":4},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Writing Linear Models from Situations  \nName:  \n\n| Write the equation that models each situation.\u003Cbr>1) A taxi company charges a base fee of $2 plus $0.50 per mile. Which equation represents the cost of a taxi ride, y, for a distance of x miles?\u003Cbr>2) A landscaping service charges a $37 visit fee plus $19 per tree trimmed. Which equation represents the total cost, y, for trimming x trees?\u003Cbr>3) A food truck earns $7 for each taco it sells. The truck's permit costs $67 per day. Which equation shows the truck's profit, y, for selling x tacos in a day?\u003Cbr>4) A tutoring center charges a $74 registration fee plus $29 per session. Which equation represents the total cost, y, for x sessions?\u003Cbr>5) A team earns $11 for each poster it sells. The printing setup costs $129. Which equation shows the team's profit, y, for selling x posters?\u003Cbr>6) Emily earns $2 for each bracelet she sells online. Her shipping supplies cost $11. Which equation shows her profit, y, for selling x bracelets?\u003Cbr>7) Cody earns $4 for each snow cone he sells. His supplies cost $55. Which equation shows his profit, y, for selling x snow cones?\u003Cbr>8) A tutoring center charges a registration fee of $27 plus $19 per session. Which equation represents the total cost, y, for x sessions?\u003Cbr>9) Ned earns $4 for each poster he sells online. His printing costs total $92. Which equation shows his profit, y, for selling x posters?\u003Cbr>10) A bakery earns $7 for each pie it sells. The ingredients cost $49 per day. Which equation shows the bakery's profit, y, for selling x pies in a day?\u003Cbr>11) A bakery earns $11 for each cake it sells. The bakery's daily rent is $127. Which equation shows the bakery's profit, y, for selling x cakes in a day?\u003Cbr>12) Robin earns $9 for each bracelet she sells at a fair. Her table rental costs $45. Which equation shows her profit, y, for selling x bracelets? |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>4\u003Cbr>1-10\u003Cbr>11-12 | 92 | 83 | 75 |  | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nWriting Linear Models from Situations  \nName: Answer Key  \n\n| Write the equation that models each situation.\u003Cbr>1) A taxi company charges a base fee of $2 plus $0.50 per mile. Which equation represents the cost of a taxi ride, y, for a distance of x miles? |  |  |  |  | Answers\u003Cbr>1.  y = 0.50x + 2  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A landscaping service charges a $37 visit fee plus $19 per tree trimmed. Which equation represents the total cost, y, for trimming x trees? |  |  |  | 2.  y = 19x + 37 \u003Cbr>3.  y = 7x-67  |  |  |  |  |  |  |  |\n| 3) | A food truck earns $7 for each taco it sells. The truck's permit costs $67 per day. Which equation shows the truck's profit, y, for selling x tacos in a day? |  |  |  | 4.  y = 29x + 74  |  |  |  |  |  |  |  |\n| 4) | A tutoring center charges a $74 registration fee plus $29 per session. Which equation represents the total cost, y, for x sessions? |  |  |  | 5.  y = 11x-129 \u003Cbr>6.  y = 2x-11  |  |  |  |  |  |  |  |\n| 5) | A team earns $11 for each poster it sells. The printing setup costs $129. Which equation shows the team's profit, y, for selling x posters? |  |  |  | 7.  y = 4x-55 \u003Cbr>8. y = 19x + 27 |  |  |  |  |  |  |  |\n| 6) | Emily earns $2 for each bracelet she sells online. Her shipping supplies cost $11. Which equation shows her profit, y, for selling x bracelets? |  |  |  | 9.  y = 4x-92  |  |  |  |  |  |  |  |\n| 7) | Cody earns $4 for each snow cone he sells. His supplies cost $55. Which equation shows his profit, y, for selling x snow cones? |  |  |  | 10.  y = 7x-49 \u003Cbr>11.  y = 11x-127  |  |  |  |  |  |  |  |\n| 8) | A tutoring center charges a registration fee of $27 ","cbCaipX2vIsOJA64","https://ap.wps.com/l/cbCaipX2vIsOJA64","pdf",43412,"English","# Write the equation that models each situation\n## 1-12 scenarios","[{\"question\":\"What does the worksheet ask students to do in these problems?\",\"answer\":\"Students write a linear equation that models each described situation, expressing y in terms of x for the given quantities.\"},{\"question\":\"What types of real-world scenarios are included?\",\"answer\":\"The problems cover taxi fares, landscaping services, food truck profit, tutoring costs, poster sales, bracelet profits, snow cone profits, and bakery earnings.\"},{\"question\":\"Where can the correct equations be found?\",\"answer\":\"The answer key lists the correct equations for items 1 through 12.\"}]","Writing Linear Models from Situations - Answer Key | PDF",1790804112]