EXAMPLE 1 Buying a Car Ben wants to buy a car, and he has narrowcd his choices to two models. Model A sells for $12,500, gets 25 mi/gal, and costs $350 a year for insurance. Model B sells for $21,000, gets 48 mi/gal, and costs $425 a year for insurance. Ben drives about 36,000 miles a year, and gas costs about $4.00 a gallon. (a) Find a formula for the total cost of owning Model A for any number of years. (b) Find a formula for the total cost of owning Model B for any number of years. (c) Make a table of the total cost of owning each model from 1 year to 6 years, in 1-year increments. (d) If Ben expects to keep the car for 3 years, which model is more economical? What if he expects to keep it for 5 years?

Algebra and Trigonometry (6th Edition)
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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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Find the number of years of ownership for which the cost of Ben (Problem attached) of owning Model A equals the cost of owning Model B.

EXAMPLE 1 Buying a Car
Ben wants to buy a car, and he has narrowcd his choices to two models.
Model A sells for $12,500, gets 25 mi/gal, and costs $350 a year for insurance.
Model B sells for $21,000, gets 48 mi/gal, and costs $425 a year for insurance.
Ben drives about 36,000 miles a year, and gas costs about $4.00 a gallon.
(a) Find a formula for the total cost of owning Model A for any number of years.
(b) Find a formula for the total cost of owning Model B for any number of years.
(c) Make a table of the total cost of owning each model from 1 year to 6 years, in
1-year increments.
(d) If Ben expects to keep the car for 3 years, which model is more economical?
What if he expects to keep it for 5 years?
Transcribed Image Text:EXAMPLE 1 Buying a Car Ben wants to buy a car, and he has narrowcd his choices to two models. Model A sells for $12,500, gets 25 mi/gal, and costs $350 a year for insurance. Model B sells for $21,000, gets 48 mi/gal, and costs $425 a year for insurance. Ben drives about 36,000 miles a year, and gas costs about $4.00 a gallon. (a) Find a formula for the total cost of owning Model A for any number of years. (b) Find a formula for the total cost of owning Model B for any number of years. (c) Make a table of the total cost of owning each model from 1 year to 6 years, in 1-year increments. (d) If Ben expects to keep the car for 3 years, which model is more economical? What if he expects to keep it for 5 years?
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