[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485542-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-485542-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","comparing-linear-functions-word-answer-key","Comparing Linear Functions - Word - Answer Key","","Worksheets and an answer key for comparing linear functions in real-world contexts. Students interpret linear equations to determine meanings of y-intercepts, compare rates “per mile” or “per pound” by analyzing slopes, and compute costs or fares for given inputs such as months, nights, shirts, miles, and banners. The included solutions provide the expected interpretations of fixed fees (y-intercepts), which company charges more based on slope, and the numerical totals for specified scenarios like 10 gym months or a 5-mile ride.",{"@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/comparing-linear-functions-word-answer-key/485542/",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/comparing-linear-functions-word-answer-key/485542.png","ImageObject",300,407,{"name":42,"@type":43},"mieayamfan","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",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the y-intercept most likely represent in these problems?","Question",{"text":63,"@type":64},"In these scenarios, the y-intercept represents a one-time or fixed fee such as a design fee, joining fee, reservation fee, flat fee to start, or similar initial charge.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you determine which service charges more per mile or per pound?",{"text":68,"@type":64},"Compare the slopes of the two linear equations: the line with the larger slope charges more per unit (per mile, per pound, or similar).",{"name":70,"@type":61,"acceptedAnswer":71},"How do you find the cost or fare for a specific number of months, nights, or miles?",{"text":72,"@type":64},"Substitute the given value into the corresponding linear equation and evaluate to get the total cost or fare in dollars.","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},485542,1790955840,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"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":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":113,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145,"preview_page_count":4},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Comparing Linear Functions (Word)  \nName:  \n\n| Use the linear functions to answer each question.\u003Cbr>1) The linear function c = 6f + 73 represents the cost in dollars, c, to order f banners. What does the y-intercept most likely represent? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Two taxi services calculate fares. Service A uses y = 7.25x + 15 for a ride of x miles. Service B uses y = 8. 50x + 94. Which service charges more per mile? |  |  |  | 2.   |  |  |  |  |  |  |  |\n| 3) | The linear function y = 2x + 16 represents the total paid in dollars, y, after x months at a gym. What does the y-intercept most likely represent? |  |  |  | 3.  \u003Cbr>4. |  |  |  |  |  |  |  |\n| 4) | The linear function y = 14x + 35 represents the cost in dollars, y, to camp at a park for x nights. What does the y-intercept most likely represent? |  |  |  | 5.   |  |  |  |  |  |  |  |\n| 5) | A gym uses the linear function y = 2x + 58, where y is the total paid in dollars after x months. How many dollars has a member paid after 10 months? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 6) | Two shipping companies calculate costs. Company A uses y = 4.25x + 15 for a package weighing x pounds. Company B uses y = 2.00x + 38. Which company charges more per pound? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 7) | Two campgrounds charge for camping. Campground A uses the equation y = 4.75x + 51 for the cost, y, in dollars to camp x nights. Campground B uses y = |  |  |  | 9. |  |  |  |  |  |  |  |\n| 8) | 2.75x + 24. Which campground charges more per night?\u003Cbr>A park charges campers using the linear function y = 7x + 58, where y is the costin dollars to camp for x nights. What is the cost, in dollars, to camp for 4 nights? |  |  |  | 10.   |  |  |  |  |  |  |  |\n| 9) | A ride service uses the linear function y = 8x + 15, where y is the fare in dollars for a ride of x miles. What is the fare, in dollars, for a ride of 5 miles? |  |  |  | 11.   |  |  |  |  |  |  |  |\n| 10) | The linear function y = 2x + 30 represents the cost in dollars, y, of a taxi ride of x miles. What does the y-intercept most likely represent? |  |  |  | 12.  \u003Cbr>13. |  |  |  |  |  |  |  |\n| 11) | A print shop uses the linear function y = 10x + 33, where y is the cost in dollars for an order of x shirts. What is the cost, in dollars, of an order of 11 shirts? |  |  |  | 14.   |  |  |  |  |  |  |  |\n| 12) | Two companies print banners. Company A uses the equation c = 7. 50f + 26 to find the cost, c, in dollars for f banners. Company B uses c = 2.75f + 79. Which |  |  |  | 15.   |  |  |  |  |  |  |  |\n| 13) | company charges more per banner?\u003Cbr>The linear function y = 13x + 76 represents the cost in dollars, y, to camp at a park for x nights. What does the y-intercept most likely represent? |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | A gym uses the linear function y = 11x + 17, where y is the total paid in dollars after x months. How many dollars has a member paid after 7 months? |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | Two shipping companies calculate costs. Company A uses y = 7. 50x + 80 for a package weighing x pounds. Company B uses y = 6.75x + 31. Which company charges more per pound? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>1\u003Cbr>1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nComparing Linear Functions (Word)  \nName: Answer Key  \n\n| Use the linear functions to answer each question.\u003Cbr>1) The linear function c = 6f + 73 represents the cost in dollars, c, to order f banners. What does the y-intercept most likely represent? |  |  |  |  | Answers\u003Cbr>1.  a one-time design fee  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Two taxi services calculate fares. Service A uses y = 7.25x + 15 for a ride of x mile","cbCaicOrEfB7A26F","https://ap.wps.com/l/cbCaicOrEfB7A26F","pdf",456566,"English","# Use Linear Functions\n## Interpret y-intercepts\n## Compare per-unit costs\n## Compute totals from linear equations","[{\"question\":\"What does the y-intercept most likely represent in these problems?\",\"answer\":\"In these scenarios, the y-intercept represents a one-time or fixed fee such as a design fee, joining fee, reservation fee, flat fee to start, or similar initial charge.\"},{\"question\":\"How do you determine which service charges more per mile or per pound?\",\"answer\":\"Compare the slopes of the two linear equations: the line with the larger slope charges more per unit (per mile, per pound, or similar).\"},{\"question\":\"How do you find the cost or fare for a specific number of months, nights, or miles?\",\"answer\":\"Substitute the given value into the corresponding linear equation and evaluate to get the total cost or fare in dollars.\"}]","Comparing Linear Functions - Word - Answer Key | PDF",1790804446,76]