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Rate of Change In Exercises 63 and 64, you are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t . (Let t = 0 represent 2010.) 2016 Value Rate $17,200 $1600 decrease per year

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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347
Chapter P.2, Problem 64E
Textbook Problem
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Rate of Change In Exercises 63 and 64, you are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 0

represent 2010.)

2016 Value Rate

$17,200 $1600 decrease per year

To determine

To calculate: The expression of the linear equation that gives the dollar value V of the product in terms of t if the product value V is 17,200 and the rate is $1600 increase per year.

Explanation of Solution

Given:

The product value V is 17,200 and the rate is $1600 increase per year.

Formula used:

The equation of a straight line is given as y=mx+c.

Calculation:

The rate of value of the product is equal to the slope of a linear equation that gives value of the product. So, the slope of the value of product is 1600. The linear equation of line is,

V=mt+b

Substitute m=1600 and t</

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Calculus (MindTap Course List)
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