BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 5.5, Problem 40E

To determine

The car that will worth the same amount as in car is exactly 5 years.

Expert Solution & Answer

Answer to Problem 40E

Where the initial value is the y-intercept at $22500 & the rate at which the value decreases is $2000 per year.

Explanation of Solution

Given information:

A car has initial value of $20,000 and decreases in value at a rate of $1500 per year.

Formula used:

y=mx+b

Calculation:

First, derive the equation for the first car. The initial value corresponds to the y-intercept

b = 20000 & the decrease in value rate is the slope m = -1500

Using slope-intercept form, the equation is:

y=mx+by=−1500x+20000 ory=20000−1500x

At = 5 (5 years), the worth is:

y=20000−1500(5)y=$12500

Therefore, we need to find an equation in the same form that passes through the point (5, 12500) corresponding to the value after 5 years.

Let, the decrease in value he $2000 per year so that the equation is:

y=−2000(5)+b

Substitute the point to find b:

12500=−2000(5)+bb=22500

The equation for the 2ⁿ^d car is:

y=22500−2000x

Where the initial value is the y-intercept at $22500 & the rate at which the value decreases is $2000 per year.

Conclusion:

Where the initial value is the y-intercept at $22500 & the rate at which the value decreases is $2000 per year.

Chapter 5.5, Problem 39E

Chapter 5.5, Problem 41E

Chapter 5 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - 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