[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-465783-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-465783-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-approximate-measurement-problems","Comparing Approximate Measurement - Problems","","Works through two comparison problems using tables of approximate production and travel data. The first problem compares Machine A and Machine B by totaling pencils produced and dividing by total seconds to estimate each machine’s pencils per second. 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do you compare Machine A and Machine B pencils per second?","Question",{"text":62,"@type":63},"Add the pencils produced for each machine, add the corresponding times, then divide total pencils by total seconds to get pencils per second for each machine.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you compare the speed of Biker 1 and Biker 2?",{"text":67,"@type":63},"Sum each biker’s distances and sum each biker’s times, then divide total distance by total hours to compute average speed for each biker.",{"name":69,"@type":60,"acceptedAnswer":70},"What role do the totals and divisions play in these problems?",{"text":71,"@type":63},"The totals provide the overall approximate quantity produced or traveled, and the division converts that total into a comparable rate (pencils per second or distance per 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\u003Cbr>Machine A |  |  |\n| --- | --- | --- |\n| \u003Cbr>Time (Seconds) | \u003Cbr>Pencils Produced |  |\n| 2 |  | 194 |\n| 5 |  | 473 |\n| 7 |  | 660 |\n| 8 |  | 754 |\n| 9 |  | 846 |\n\nPencils Produced  \nMachine B  \n1 3 6 8 9 Time (Seconds)  \ntotal  \n2) Compare the approximate speed of Biker 1 to Biker 2.  \n\n| \u003Cbr>Biker 1 |  |\n| --- | --- |\n| \u003Cbr>Time (Hours) | \u003Cbr>Distance Biked (km) |\n| 2 | 36 |\n| 4 | 73 |\n| 5 | 92 |\n| 8 | 149 |\n| 9 | 167 |\n\nDistance B iked (km)  \nSolve each problem.  \n1) Compare the approximate pencils per second produced by Machine A to Machine B.  \n\n| \u003Cbr>Machine A |  |  |\n| --- | --- | --- |\n| \u003Cbr>Time (Seconds) | \u003Cbr>Pencils Produced |  |\n| 2 |  | 194 |\n| 5 |  | 473 |\n| 7 |  | 660 |\n| 8 |  | 754 |\n| 9 |  | 846 |\n\n194+473+660+754+846 = 2,927 total pencils 2+5+7+8+9 = 31 total seconds  \n2,927÷31 = 94.4  \nPencils Produced  \nMachine B  \n1 3 6 8 9  \nTime (Seconds)  \n83+270+548+734+829 = 2,464 total pencils 1+3+6+8+9 = 27 total seconds  \n2,464÷27 = 91.3  \n2) Compare the approximate speed of Biker 1 to Biker 2.  \n\n| \u003Cbr>Biker 1 |  |\n| --- | --- |\n| \u003Cbr>Time (Hours) | \u003Cbr>Distance Biked (km) |\n| 2 | 36 |\n| 4 | 73 |\n| 5 | 92 |\n| 8 | 149 |\n| 9 | 167 |\n\n36+73+92+149+167 = 517 total km 2+4+5+8+9 = 28 total hours 517÷28 = 18.5  \nTime (Hours)  \n23+79+118+154+175 = 549 total km 1+4+6+8+9 = 28 total hours 549÷28 = 19.6  \nSolve each problem.  \n1) Compare the approximate pencils per second produced by Machine A to Machine B.  \n\n| \u003Cbr>Machine A |  |  |\n| --- | --- | --- |\n| \u003Cbr>Time (Seconds) | \u003Cbr>Pencils Produced |  |\n| 2 |  | 194 |\n| 5 |  | 473 |\n| 7 |  | 660 |\n| 8 |  | 754 |\n| 9 |  | 846 |\n\nPencils Produced  \nMachine B  \n1 3 6 8 9 Time (Seconds)  \ntotal  \n2) Compare the approximate speed of Biker 1 to Biker 2.  \n\n| \u003Cbr>Biker 1 |  |\n| --- | --- |\n| \u003Cbr>Time (Hours) | \u003Cbr>Distance Biked (km) |\n| 2 | 36 |\n| 4 | 73 |\n| 5 | 92 |\n| 8 | 149 |\n| 9 | 167 |\n\nDistance B iked (km)","cbCaiuzNpkjRLjio","https://ap.wps.com/l/cbCaiuzNpkjRLjio","pdf",50431,"English","# Comparing approximate pencils per second\n## Machine A vs Machine B\n# Comparing approximate speed of two bikers\n## Biker 1 vs Biker 2","[{\"question\":\"How do you compare Machine A and Machine B pencils per second?\",\"answer\":\"Add the pencils produced for each machine, add the corresponding times, then divide total pencils by total seconds to get pencils per second for each machine.\"},{\"question\":\"How do you compare the speed of Biker 1 and Biker 2?\",\"answer\":\"Sum each biker’s distances and sum each biker’s times, then divide total distance by total hours to compute average speed for each biker.\"},{\"question\":\"What role do the totals and divisions play in these problems?\",\"answer\":\"The totals provide the overall approximate quantity produced or traveled, and the division converts that total into a comparable rate (pencils per second or distance per hour).\"}]","Comparing Approximate Measurement - Problems | PDF"]