   Chapter 6, Problem 28RE

Chapter
Section
Textbook Problem

Finding an Exponential Function In Exercises 25-28, find the exponential function y = C e k t that passes through the two given points. To determine

To calculate: Theexponential function y=Cekt that passes through the points (1,4) and (4,1).

Explanation

Given:

The graph of y=Cekt is:

Formula used:

lnex=x

Calculation:

Now, put the value of t1 and y1 from the point (1,4) in y=Cekt:

4=Cek4=CekC=4ek

Put t2=4,y2=1 from point (4,1) in y=Cekt

1=Ce4k1=Ce4kC=e4k

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