Chapter 2.2, Problem 51E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Chapter
Section

### Finite Mathematics and Applied Cal...

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

# In Exercises 47-54, model the data using an exponential function f ( x ) = A b x . [HINT: See Example 1.) x 0 1 2 f ( x ) 500 225 101.25

To determine

To calculate: The model of following data by using the exponential function f(x)=Abx.

 x 0 1 2 f(x) 500 225 101.25
Explanation

Given Information:

The data table is,

 x 0 1 2 f(x) 500 225 101.25

Calculation:

Consider the following data table,

 x 0 1 2 f(x) 500 225 101.25

From the data table it can be observed that for every time value of x increases by 1, the value of f(x) is multiplied by 12. This suggest that f(x) is an exponential function fitting data.

Use the formula of exponential function,

f(x)=Abx

Substitute x=0 in the equation f(x)=Abx,

f(0)=Ab0

As f(0)=500 and b0=1

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