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Gas Mileage Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him $150 a month in loan payments, and it gets 20 miles per gallon in gas mileage. The car will cost $180 a month in loan payments, but it gets 35 miles per gallon in gas mileage. Daniel estimates that he will pay $4.00 per gallon for gas. This means that the monthly cost to drive the truck x miles will be y= x+ 150. The total monthly cost to drive 1.00 the car x miles will be y x+ 180. The following 4.00 20 %3D figure shows the graph of each equation. 400 350 300 250 Ear 200 Truck 150 100 50 100 200 300 400 500 600 700 800 900 Miles driven in a month a. At how many miles do the car and the truck cost the same to operate? b. If Daniel drives móre than 600 miles in a month, which will be cheaper? c. If Daniel drives fewer than 100 miles in a month, which will be cheaper? Cost ($)

Gas Mileage Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him $150 a month in loan payments, and it gets 20 miles per gallon in gas mileage. The car will cost $180 a month in loan payments, but it gets 35 miles per gallon in gas mileage. Daniel estimates that he will pay $4.00 per gallon for gas. This means that the monthly cost to drive the truck x miles will be y= x+ 150. The total monthly cost to drive 1.00 the car x miles will be y x+ 180. The following 4.00 20 %3D figure shows the graph of each equation. 400 350 300 250 Ear 200 Truck 150 100 50 100 200 300 400 500 600 700 800 900 Miles driven in a month a. At how many miles do the car and the truck cost the same to operate? b. If Daniel drives móre than 600 miles in a month, which will be cheaper? c. If Daniel drives fewer than 100 miles in a month, which will be cheaper? Cost ($)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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Gas Mileage Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him $150 a month in loan payments, and it gets 20 miles per gallon in gas mileage. The car will cost $180 a month in loan payments, but it gets 35 miles per gallon in gas mileage. Daniel estimates that he will pay $4.00 per gallon for gas. This means that the monthly cost to drive the truck x miles will be y 4.00 20 x+150. The total monthly cost to drive the car x miles will be y= *+180. The following figure shows the graph of each equation. 4.00 35 400 350 300 250 Ear 200 Truck 150 100 50 0. 0. 100 200 300 400 500 600 700 800 S00 Miles driven iha month a. At how many miles do the car and the truck.cost the same to operate? b. If Daniel drives more than 600 miles in a month, which will be cheaper? c. If Daniel drives fewer than 100 miles in a month, which will be cheaper? d. Why do the graphs appear in the first quadrant only? Cost ($)
Transcribed Image Text:Gas Mileage Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him $150 a month in loan payments, and it gets 20 miles per gallon in gas mileage. The car will cost $180 a month in loan payments, but it gets 35 miles per gallon in gas mileage. Daniel estimates that he will pay $4.00 per gallon for gas. This means that the monthly cost to drive the truck x miles will be y 4.00 20 x+150. The total monthly cost to drive the car x miles will be y= *+180. The following figure shows the graph of each equation. 4.00 35 400 350 300 250 Ear 200 Truck 150 100 50 0. 0. 100 200 300 400 500 600 700 800 S00 Miles driven iha month a. At how many miles do the car and the truck.cost the same to operate? b. If Daniel drives more than 600 miles in a month, which will be cheaper? c. If Daniel drives fewer than 100 miles in a month, which will be cheaper? d. Why do the graphs appear in the first quadrant only? Cost ($)
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