Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Exponential Growth Model
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Chapter 3.3, Problem 19PPS

(a)

To determine

To write: a linear function to model the price of the car with respect to age.

(a)

Expert Solution
Check Mark

Answer to Problem 19PPS

A linear function to model the price of the car with respect to age is,

  p=−1221t+19820

Explanation of Solution

Given information:

The average retail price in a recent year for a used car is shown in the table at the right.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.3, Problem 19PPS , additional homework tip 1

Calculation:

To find a linear function, find the y -intercept and slope. Use coordinates (2, 17, 378) and (3, 16, 157). Find lope or rate of change, Rate of change=change in ychange in x=16157−173783−2=−12211=−1221

Find the y -intercept,

  Y=mx+b17378=(−1221)2+b17978=−2442+b19820=b

So, a linear function to model the price of the car with respect to age is,

  p=−1221t+19820

(b)

To determine

To find: the interpret the meaning of the slope of the line.

(b)

Expert Solution
Check Mark

Answer to Problem 19PPS

The slope of −$1221 represents how much the car value depreciates by given year.

Explanation of Solution

Given information:

The average retail price in a recent year for a used car is shown in the table at the right.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.3, Problem 19PPS , additional homework tip 2

Calculation:

The slope of −$1221 represents how much the car value depreciates by given year.

(c)

To determine

To predict: the average retail price for a 7 years old car.

(c)

Expert Solution
Check Mark

Answer to Problem 19PPS

The average retail price for a 7 years old car is $11273.

Explanation of Solution

Given information:

The average retail price in a recent year for a used car is shown in the table at the right.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.3, Problem 19PPS , additional homework tip 3

Assuming a constant rate of change.

Calculation:

As per above solution, found that the price of the car with respect to age is

  p=−1221t+19820

So, after 7 years the average retail price for a car is,

  p=−1221t+19820=−1221(7)+19820=−8547+19820=11273

So, the average retail price for a 7 years old car is $11273.

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Chapter 3.3, Problem 18PPS
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Chapter 3.3, Problem 20PPS

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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Learn Algebra 6 : Rate of Change; Author: Derek Banas;https://www.youtube.com/watch?v=Dw701mKcJ1k;License: Standard YouTube License, CC-BY