   Chapter 4.6, Problem 2E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Modeling Exponential Growth and Decay In Exercises 1-6, find the exponential function y = C e k t that passes through the two given points. y = C e k t To determine

To calculate: The exponential function y=Cekt for the following graph: Explanation

Given Information:

The provided graph is:

Calculation:

Consider the following graph:

Observe that the exponential function curve passes through the points (0,12) and (5,5).

Hence the points (0,12) and (5,5) satisfy the equation of exponential function y=Cekt.

Substitute t=0,y=12 in the equation y=Cekt.

12=Cek(0)12=Ce012=C1C=12

Hence, the value of C is 12.

Substitute t=5,y=5 in the equation y=12ekt.

5=12ek(5)5=12e5k

Solve the equation 5=12e5k for k

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