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)
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,...
icon
Related questions
icon
Concept explainers
Question

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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education