[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485549-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-485549-en":130},{"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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","comparing-linear-functions-worksheet","Comparing Linear Functions - Worksheet","","Practice set for comparing and interpreting linear functions using real-world scenarios such as banner orders, rides, gym payments, camping costs, printing shirts, taxi fares, shipping weights, and park camping. Students determine what the y-intercept represents in several contexts and compute y-values for given inputs. The answer key provides corresponding numerical results and explanations of intercept meanings, reinforcing slope and initial-fee interpretation in linear models.",{"@graph":14,"@context":72},[15,34,55],{"@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-worksheet/485549/",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-worksheet/485549.png","ImageObject",300,407,{"name":42,"@type":43},"mieayamfan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-27","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the y-intercept represent in these linear function problems?","Question",{"text":62,"@type":63},"In each scenario, the y-intercept represents the starting amount or one-time fee collected when the input variable is zero, such as a design fee, joining fee, or flat start cost.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you find the fare or cost for a specific input value?",{"text":67,"@type":63},"Substitute the given x value into the corresponding linear equation and evaluate y to get the fare or total cost in dollars.",{"name":69,"@type":60,"acceptedAnswer":70},"How can you decide which service charges more per unit?",{"text":71,"@type":63},"Compare the slopes (the coefficients of x). The larger slope indicates a higher rate per mile, per banner, per night, or per pound, depending on the problem.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},485549,1793083800,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":26,"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":110,"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 = 3f + 62 represents the cost in dollars, c, to order f banners. What does the y-intercept most likely represent? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A ride service uses the linear function y = 7x + 26, where y is the fare in dollars for a ride of x miles. What is the fare, in dollars, for a ride of 12 miles? |  |  |  | 2.   |  |  |  |  |  |  |  |\n| 3) | A gym uses the linear function y = 7x + 32, where y is the total paid in dollars after x months. How many dollars has a member paid after 3 months? |  |  |  | 3.  \u003Cbr>4. |  |  |  |  |  |  |  |\n| 4) | The linear function y = 14x + 36 represents the total paid in dollars, y, after x months at a gym. What does the y-intercept most likely represent? |  |  |  | 5.   |  |  |  |  |  |  |  |\n| 5) | Two campgrounds charge for camping. Campground A uses the equation y = 6.00x + 62 for the cost, y, in dollars to camp x nights. Campground B uses y = |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 6) | 8.25x + 48. Which campground charges more per night?\u003Cbr>Two companies print banners. Company A uses the equation c = 7.75f + 80 to find the cost, c, in dollars for f banners. Company B uses c = 6. 50f + 69. Which |  |  |  | 7.   |  |  |  |  |  |  |  |\n| 7) | company charges more per banner?\u003Cbr>The linear function y = 13x + 50 represents the cost in dollars, y, to camp at a park for x nights. What does the y-intercept most likely represent? |  |  |  | 8.  \u003Cbr>9.   |  |  |  |  |  |  |  |\n| 8) | A print shop uses the linear function y = 6x + 60, where y is the cost in dollars for an order of x shirts. What is the cost, in dollars, of an order of 8 shirts? |  |  |  | 10.   |  |  |  |  |  |  |  |\n| 9) | The linear function y = 7x + 80 represents the cost in dollars, y, of a taxi ride of x miles. What does the y-intercept most likely represent? |  |  |  | 11.   |  |  |  |  |  |  |  |\n| 10) | Two taxi services calculate fares. Service A uses y = 3. 50x + 77 for a ride of x miles. Service B uses y = 6. 50x + 48. Which service charges more per mile? |  |  |  | 12.  \u003Cbr>13. |  |  |  |  |  |  |  |\n| 11) | Two shipping companies calculate costs. Company A uses y = 3. 50x + 62 for a package weighing x pounds. Company B uses y = 3.00x + 69. Which company |  |  |  | 14.   |  |  |  |  |  |  |  |\n| 12) | charges more per pound?\u003Cbr>A park charges campers using the linear function y = 4x + 49, where y is the costin dollars to camp for x nights. What is the cost, in dollars, to camp for 5 nights? |  |  |  | 15.   |  |  |  |  |  |  |  |\n| 13) | Two taxi services calculate fares. Service A uses y = 8.75x + 71 for a ride of x miles. Service B uses y = 9.00x + 50. Which service charges more per mile? |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | A gym uses the linear function y = 14x + 30, where y is the total paid in dollars after x months. How many dollars has a member paid after 6 months? |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | Two shipping companies calculate costs. Company A uses y = 6. 50x + 34 for a package weighing x pounds. Company B uses y = 2.75x + 69. Which company charges more per pound? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>7\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 = 3f + 62 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) | A ride service uses the linear function y = 7x + 26, where y is the fa","cbCaiczxfpKHXZtm","https://ap.wps.com/l/cbCaiczxfpKHXZtm","pdf",44914,"English","# Problems\n## Interpret the y-intercept\n## Compute values from linear equations","[{\"question\":\"What does the y-intercept represent in these linear function problems?\",\"answer\":\"In each scenario, the y-intercept represents the starting amount or one-time fee collected when the input variable is zero, such as a design fee, joining fee, or flat start cost.\"},{\"question\":\"How do you find the fare or cost for a specific input value?\",\"answer\":\"Substitute the given x value into the corresponding linear equation and evaluate y to get the fare or total cost in dollars.\"},{\"question\":\"How can you decide which service charges more per unit?\",\"answer\":\"Compare the slopes (the coefficients of x). The larger slope indicates a higher rate per mile, per banner, per night, or per pound, depending on the problem.\"}]","Comparing Linear Functions - Worksheet | PDF",1790804465]