[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485547-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-485547-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","Comparing Linear Functions","","Practice problems compare linear functions in multiple real-world contexts such as gym monthly payments, taxi and ride fares, campground costs by nights, company banner printing fees, shipping costs by weight, and park camping prices. Each question provides one or two linear equations and asks for key interpretations like what the y-intercept represents or which option charges a higher rate per unit. An accompanying answer key supplies the correct choices and computed values.",{"@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/485547/",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/485547.png","ImageObject",300,407,{"name":42,"@type":43},"mieayamfan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-06","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"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},"The y-intercept represents the starting amount when x is 0, such as a one-time fee, design fee, reservation fee, or flat fee to begin the service described in the situation.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you determine which service charges more per mile or per unit?",{"text":67,"@type":63},"Compare the slope (the coefficient of x) in each linear equation; the larger slope corresponds to the higher charge per mile or per unit.",{"name":69,"@type":60,"acceptedAnswer":70},"How do you find the cost or fare for a given number of miles or nights?",{"text":71,"@type":63},"Substitute the given x value into the relevant linear equation and compute y, which is the total cost or fare for that quantity.","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},485547,1792880253,{"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":33,"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 y = 13x + 75 represents the total paid in dollars, y, after x months at a gym. What does the y-intercept most likely represent? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Two taxi services calculate fares. Service A uses y = 3.25x + 30 for a ride of x miles. Service B uses y = 3.00x + 24. Which service charges more per mile? |  |  |  | 2.   |  |  |  |  |  |  |  |\n| 3) | Two campgrounds charge for camping. Campground A uses the equation y = 7.75x + 35 for the cost, y, in dollars to camp x nights. Campground B uses y = |  |  |  | 3.   |  |  |  |  |  |  |  |\n| 4) | 9.25x + 80. Which campground charges more per night?\u003Cbr>A ride service uses the linear function y = 4x + 54, where y is the fare in dollars for a ride of x miles. What is the fare, in dollars, for a ride of 6 miles? |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |  |  |\n| 5) | Two companies print banners. Company A uses the equation c = 6.00f + 71 to find the cost, c, in dollars for f banners. Company B uses c = 4.00f + 82. Which |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 6) | company charges more per banner?\u003Cbr>The linear function c = 9f + 90 represents the cost in dollars, c, to order f banners. What does the y-intercept most likely represent? |  |  |  | 7.   |  |  |  |  |  |  |  |\n| 7) | A gym uses the linear function y = 2x + 53, where y is the total paid in dollars after x months. How many dollars has a member paid after 3 months? |  |  |  | 8.  \u003Cbr>9.   |  |  |  |  |  |  |  |\n| 8) | A park charges campers using the linear function y = 9x + 58, where y is the costin dollars to camp for x nights. What is the cost, in dollars, to camp for 7 nights? |  |  |  | 10.   |  |  |  |  |  |  |  |\n| 9) | A print shop uses the linear function y = 2x + 95, 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? |  |  |  | 11.   |  |  |  |  |  |  |  |\n| 10) | The linear function y = 13x + 44 represents the cost in dollars, y, to camp at a park for x nights. What does the y-intercept most likely represent? |  |  |  | 12.  \u003Cbr>13. |  |  |  |  |  |  |  |\n| 11) | Two shipping companies calculate costs. Company A uses y = 3.00x + 23 for a package weighing x pounds. Company B uses y = 5.00x + 50. Which company |  |  |  | 14.   |  |  |  |  |  |  |  |\n| 12) | charges more per pound?\u003Cbr>The linear function y = 12x + 77 represents the cost in dollars, y, of a taxi ride of x miles. What does the y-intercept most likely represent? |  |  |  | 15.   |  |  |  |  |  |  |  |\n| 13) | Two companies print banners. Company A uses the equation c = 2.25f + 70 to find the cost, c, in dollars for f banners. Company B uses c = 9.00f + 92. Which |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | company charges more per banner?\u003Cbr>A ride service uses the linear function y = 9x + 42, where y is the fare in dollars for a ride of x miles. What is the fare, in dollars, for a ride of 10 miles? |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | The linear function y = 14x + 25 represents the cost in dollars, y, to camp at a park for x nights. What does the y-intercept most likely represent? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>5\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 y = 13x + 75 represents the total paid in dollars, y, after x months at a gym. What does the y-intercept most likely represent? |  |  |  |  | Answers\u003Cbr>1.  a one-time joining fee  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Two taxi services calculate fares.","cbCaisDSFHJdlZDx","https://ap.wps.com/l/cbCaisDSFHJdlZDx","pdf",44936,"English","# Linear Functions Practice\n## Interpret the y-intercept\n## Compare rates per unit\n## Compute fares and costs","[{\"question\":\"What does the y-intercept represent in these linear function problems?\",\"answer\":\"The y-intercept represents the starting amount when x is 0, such as a one-time fee, design fee, reservation fee, or flat fee to begin the service described in the situation.\"},{\"question\":\"How do you determine which service charges more per mile or per unit?\",\"answer\":\"Compare the slope (the coefficient of x) in each linear equation; the larger slope corresponds to the higher charge per mile or per unit.\"},{\"question\":\"How do you find the cost or fare for a given number of miles or nights?\",\"answer\":\"Substitute the given x value into the relevant linear equation and compute y, which is the total cost or fare for that quantity.\"}]","Comparing Linear Functions | PDF",1790804460]