   Chapter 11, Problem 15T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# The sales of a product are given by S =   80 , 000 e − 0.4 t , where S is the daily sales and t is the number of days after the end of an advertising campaign. Find the rate of sales decay 10 days after the end of the ad campaign.

To determine

To calculate: The rate of sales decay 10 days after the end of the ad campaign if the sales of a product are given as S=80,000e0.4t, where S is the daily sales and t is the number of days after the end of the campaign.

Explanation

Given Information:

The provided expression is S=80,000e0.4t, where S is the daily sales and t is the number of days after the end of the campaign.

Formula Used:

The derivative of function f(t) with respect to t represent rate of change of function,

Rate of change=df(t)dx

Calculation:

The provided expression is S=80,000e0.4t,

Differentiate on both the sides of S=80,000e0.4t with respect to t,

dSdt=ddt(80,000e0

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