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Each item provides a function expression and a specific domain interval, requiring the reader to apply the average rate of change idea consistently across different algebraic forms. The final word problem uses real-world timing and distance evidence about speed limit allegations, asking whether the photo information proves breaking the speed limit during the stated time. ",{"@graph":69,"@context":123},[70,84,106],{"@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/average-rates-of-change-for-each-problem-find-the-average-rate-of-change/523467/",{"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/average-rates-of-change-for-each-problem-find-the-average-rate-of-change/523467.png","ImageObject",300,407,{"name":92,"@type":93},"WPS_1790064749","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find the average rate of change for each function problem?","Question",{"text":113,"@type":114},"Use the given function over the stated interval and compute the average rate of change across that interval.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the purpose of the interval listed with each function problem?",{"text":118,"@type":114},"The interval specifies the two x-values between which the average rate of change must be computed.",{"name":120,"@type":111,"acceptedAnswer":121},"Does the worksheet’s speed limit photos provide proof the driver broke the speed limit?",{"text":122,"@type":114},"The worksheet concludes that the evidence indicates the driver was breaking the speed limit some of the time.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523467,1791506825,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},3985747859154,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Name   \nAverage Rates of Change Date  Period   \nFor each problem, find the average rate of change of the function over the given interval.  \n1) f (x) 􀀠 x 􀀕 􀀎 x 􀀐 􀀔 ; [􀀐􀀕 , 􀀐 ~~ ~~􀀚􀀗~~ ~~]  \n3) f (x) 􀀠 x 􀀕 􀀐 x 􀀐 􀀔 ; [􀀖 , ~~ ~~􀀔􀀖􀀗~~ ~~]  \n5) f (x) 􀀠 􀀕x 􀀕 􀀐 􀀕x 􀀐 􀀔 ; [􀀔 , 􀀖􀀕~~ ~~]  \n7) f (x) 􀀠 x~~ ~~~~ ~~􀀖~~ ~~; [􀀐􀀔 , 􀀐 ~~ ~~􀀕􀀖~~ ~~]  \n2) f (x) 􀀠 x~~ ~~~~ ~~􀀖~~ ~~; [􀀐􀀕 , 􀀐 ~~ ~~􀀖􀀕~~ ~~]  \n4) f (x) 􀀠 􀀐x 􀀕 􀀐 x 􀀎 􀀔 ; [􀀕 , ~~ ~~􀀚􀀖~~ ~~]  \n6) f (x) 􀀠 x~~ ~~~~ ~~􀀔~~ ~~; [􀀐􀀗 , 􀀐 ~~ ~~􀀔􀀖􀀔~~ ~~]  \n8) f (x) 􀀠 􀀐 ~~ ~~x~~ ~~~~ ~~􀀔~~ ~~; [􀀐􀀗 , 􀀐 ~~ ~~􀀚􀀕~~ ~~]  \n9) The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM. Does the photo evidence prove that the driver broke the speed limit during this time?  \nKuta Software-Infinite Precalculus Name   \nAverage Rates of Change Date  Period   \nFor each problem, find the average rate of change of the function over the given interval.  \n1) f (x) 􀀠 x 􀀕 􀀎 x 􀀐 􀀔 ; [􀀐􀀕 , 􀀐 ~~ ~~􀀚􀀗~~ ~~]  \n􀀔􀀔   \n􀀐  \n􀀗  \n3) f (x) 􀀠 x 􀀕 􀀐 x 􀀐 􀀔 ; [􀀖 , ~~ ~~􀀔􀀖􀀗~~ ~~]  \n 􀀕􀀔   \n􀀗  \n5) f (x) 􀀠 􀀕x 􀀕 􀀐 􀀕x 􀀐 􀀔 ; [􀀔 , 􀀖􀀕~~ ~~]  \n􀀖  \n7) f (x) 􀀠 x~~ ~~~~ ~~􀀖~~ ~~; [􀀐􀀔 , 􀀐 ~~ ~~􀀕􀀖~~ ~~]  \n 􀀖   \n􀀐  \n􀀔􀀗  \n2) f (x) 􀀠 x~~ ~~~~ ~~􀀖~~ ~~; [􀀐􀀕 , 􀀐 ~~ ~~􀀖􀀕~~ ~~]  \n􀀕   \n􀀐  \n􀀗􀀘  \n4) f (x) 􀀠 􀀐x 􀀕 􀀐 x 􀀎 􀀔 ; [􀀕 , ~~ ~~􀀚􀀖~~ ~~]  \n 􀀔􀀙   \n􀀐  \n􀀖  \n6) f (x) 􀀠 x~~ ~~~~ ~~􀀔~~ ~~; [􀀐􀀗 , 􀀐 ~~ ~~􀀔􀀖􀀔~~ ~~]  \n 􀀖   \n􀀐  \n􀀚􀀓  \n8) f (x) 􀀠 􀀐 ~~ ~~x~~ ~~~~ ~~􀀔~~ ~~; [􀀐􀀗 , 􀀐 ~~ ~~􀀚􀀕~~ ~~]  \n 􀀕   \n􀀗􀀘  \n9) The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM. Does the photo evidence prove that the driver broke the speed limit during this time?  \nYes. The average rate of change is 62 mph, so the driver must have been breaking the speed limit some of the time.  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiiBLGPGvzX2h","https://ap.wps.com/l/cbCaiiBLGPGvzX2h","pdf",35212,"English","# Average Rates of Change\n## Function average rate of change over given intervals\n## Speed limit photo evidence word problem","[{\"question\":\"How do you find the average rate of change for each function problem?\",\"answer\":\"Use the given function over the stated interval and compute the average rate of change across that interval.\"},{\"question\":\"What is the purpose of the interval listed with each function problem?\",\"answer\":\"The interval specifies the two x-values between which the average rate of change must be computed.\"},{\"question\":\"Does the worksheet’s speed limit photos provide proof the driver broke the speed limit?\",\"answer\":\"The worksheet concludes that the evidence indicates the driver was breaking the speed limit some of the time.\"}]","Average Rates of Change - For Each Problem Find the Average Rate of Change | PDF",1791426889]