Gas Mileage Daniel is trying to decide whether to buy a caror a truck. The truck he is considering will cost him $150 amonth in loan payments, and it gets 20 miles per gallon ingas mileage. The car will cost $180 a month in loanpayments, but it gets 35 miles per gallon in gas mileage.Daniel estimates that he will pay $4.00 per gallon for gas.This means that the monthly cost to drive the truck x mileswill be y4.0020x+150. The total monthly cost to drivethe car x miles will be y= *+180. The followingfigure shows the graph of each equation.4.0035400350300250Ear200Truck150100500.0.100 200 300 400 500 600 700800 S00Miles driven iha montha. At how many miles do the car and the truck.cost thesame to operate?b. If Daniel drives more than 600 miles in a month,which will be cheaper?c. If Daniel drives fewer than 100 miles in a month,which will be cheaper?d. Why do the graphs appear in the first quadrant only?Cost ($)

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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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