[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-463860-105":59,"doc-detail-463860-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","writing-linear-models-from-situations","Writing Linear Models from Situations","","Writing linear equations for real-world situations, focusing on total cost or profit as a function of a variable quantity x. The worksheet presents 12 scenarios involving deposits, per-hour or per-unit charges, monthly fees, and per-day or per-game costs. Each prompt asks for an equation that matches a specific context (e.g., rentals, sales, booking fees, and supplies) using y to represent the modeled amount.",{"@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/writing-linear-models-from-situations/463860/",{"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/writing-linear-models-from-situations/463860.png","ImageObject",300,407,{"name":92,"@type":93},"Patrick","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does x represent in these linear model equations?","Question",{"text":112,"@type":113},"In each scenario, x represents the number of items or units involved (such as hours, shirts, keychains, prints, films, dogs, rentals, or games). The equation uses x as the input to compute y.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does y represent in these problems?",{"text":117,"@type":113},"y represents the total cost, monthly bill, or profit described in each situation. The worksheet asks for an equation that outputs y from x.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the equations formed from the scenario details?",{"text":121,"@type":113},"Each equation combines a per-unit rate with a fixed starting amount, such as a deposit, fee, or supply/equipment cost. The slope comes from the per-unit charge or earning, and the constant term comes from the fixed amount.","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},463860,1791338848,{"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":44,"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},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","Writing Linear Models from Situations  \nName:  \n\n| Write the equation that models each situation.\u003Cbr>1) A bike rental shop charges a $23 deposit plus $22 per hour. Which equation represents the total cost, y, for renting a bike x hours?\u003Cbr>2) A club earns $10 for each shirt it sells. The equipment to make the shirts costs $60. Which equation shows the club's profit, y, for selling x shirts?\u003Cbr>3) A shop earns $5 for each keychain it sells. The molds cost $40 to make. Which equation shows the shop's profit, y, for selling x keychains?\u003Cbr>4) Dave makes $1 for each cup of lemonade he sells. His supplies cost $15. Which equation shows his profit, y, for selling x cups?\u003Cbr>5) A photographer charges a booking fee of $60 plus $29 for each print. Which equation represents the total cost, y, for x prints?\u003Cbr>6) A movie streaming service charges $10 per month plus $0.40 for each rented film. Which equation represents the monthly bill, y, for x rented films?\u003Cbr>7) Jerry earns $7 for each dog he walks. His transportation costs $60 per day. Which equation shows his profit, y, for walking x dogs in a day?\u003Cbr>8) A skating rink charges an entry fee of $33 plus $24 for each skate rental. Which equation represents the total cost, y, for x skate rentals?\u003Cbr>9) A photographer charges a $66 booking fee plus $22 per print. Which equation represents the total cost, y, for x prints?\u003Cbr>10) Gwen makes $5 for each loaf of bread she sells at a market. Her booth costs $63 per day. Which equation shows how much she makes, y, for selling x loaves in a day?\u003Cbr>11) A car rental costs $39 per day plus $0.39 for each mile driven. Which equation represents the cost, y, of one day with x miles driven?\u003Cbr>12) A bowling alley charges a shoe rental fee of $23 plus $11 per game. Which equation represents the total cost, y, for x games? |  |  |  | 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>1\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 bike rental shop charges a $23 deposit plus $22 per hour. Which equation represents the total cost, y, for renting a bike x hours? |  |  |  |  | Answers\u003Cbr>1.  y = 22x + 23  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A club earns $10 for each shirt it sells. The equipment to make the shirts costs $60. Which equation shows the club's profit, y, for selling x shirts? |  |  |  | 2.  y = 10x-60 \u003Cbr>3.  y = 5x-40  |  |  |  |  |  |  |  |\n| 3) | A shop earns $5 for each keychain it sells. The molds cost $40 to make. Which equation shows the shop's profit, y, for selling x keychains? |  |  |  | 4.  y = 1x-15  |  |  |  |  |  |  |  |\n| 4) | Dave makes $1 for each cup of lemonade he sells. His supplies cost $15. Which equation shows his profit, y, for selling x cups? |  |  |  | 5.  y = 29x + 60 \u003Cbr>6.  y = 0.40x + 10  |  |  |  |  |  |  |  |\n| 5) | A photographer charges a booking fee of $60 plus $29 for each print. Which equation represents the total cost, y, for x prints? |  |  |  | 7.  y = 7x-60 \u003Cbr>8. y = 24x + 33 |  |  |  |  |  |  |  |\n| 6) | A movie streaming service charges $10 per month plus $0.40 for each rented film. Which equation represents the monthly bill, y, for x rented films? |  |  |  | 9.  y = 22x + 66  |  |  |  |  |  |  |  |\n| 7) | Jerry earns $7 for each dog he walks. His transportation costs $60 per day. Which equation shows his profit, y, for walking x dogs in a day? |  |  |  | 10.  y = 5x-63 \u003Cbr>11.  y = 0.39x + 39  |  |  |  |  |  |  |  |\n| 8) | A skating rink charges an entry fee of $33 plus $24 for each skate rental. Which equation represents th","cbCaifa8t7ONeGLO","https://ap.wps.com/l/cbCaifa8t7ONeGLO","pdf",43629,"English","# Write the equation that models each situation\n## Bike rental shop\n## Club shirt sales\n## Keychain shop profit\n## Lemonade cups profit\n## Photography prints cost\n## Streaming film rentals bill\n## Dog walking profit\n## Skate rental cost\n## Additional photography scenario\n## Bread market profit\n## Car rental cost\n## Bowling alley game cost","[{\"question\":\"What does x represent in these linear model equations?\",\"answer\":\"In each scenario, x represents the number of items or units involved (such as hours, shirts, keychains, prints, films, dogs, rentals, or games). The equation uses x as the input to compute y.\"},{\"question\":\"What does y represent in these problems?\",\"answer\":\"y represents the total cost, monthly bill, or profit described in each situation. The worksheet asks for an equation that outputs y from x.\"},{\"question\":\"How are the equations formed from the scenario details?\",\"answer\":\"Each equation combines a per-unit rate with a fixed starting amount, such as a deposit, fee, or supply/equipment cost. The slope comes from the per-unit charge or earning, and the constant term comes from the fixed amount.\"}]","Writing Linear Models from Situations | PDF",1790767275]