   Chapter 2.2, Problem 61E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 55-62, find an equation for an exponential function that passes through the pair of points given. (Round all coefficients to four decimal places when necessary] [HINT: See Example2.]Through ( 2 ,     3 ) and ( 6 ,     2 )

To determine

To calculate: The equation for an exponential function that passes through the pair of points (2,3) and (6,2).

Explanation

Given Information:

The pair of points are (2,3) and (6,2).

Formula used:

Formula of exponential function is given by,

f(x)=Abx

Calculation:

Consider the following data table of the points (2,3) and (6,2),

 x 2 6 f(x) 3 2

Use the formula of exponential function,

f(x)=Abx

Substitute x=2 in f(x)=Abx:

f(2)=Ab2

Substitute f(2)=3 in f(2)=Ab2:

3=Ab2

Substitute x=6 in f(x)=Abx:

f(6)=Ab6

Substitute f(6)=2 in f(6)=Ab6:

2=Ab6

Divide equation 2=Ab6 by 3=Ab2:

23=Ab6Ab2 23=b6<

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