Chapter 2.2, Problem 105E

### 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

# Describe two real-life situations in which a linear model would be more appropriate than an exponential model, and two situations in which an exponential model would be more appropriate than a linear model.

To determine

The two real life situation which linear model would be more appropriate than an exponential model and two situations in which an exponential model would be more appropriate.

Explanation

The equation of linear model is in the form of,

y=mx+C

Here, m and C are constant.

This model is good in the case of calculation of simple interest and normal distance time calculation of vehicles.

For example the equation of simple interest is I=PRt100

Here, I is simple interest, P is initial principle amount, R is rate of interest and t is time.

In case of normal distance time calculation,

S=vt

Here, S is the distance, v speed and t is the time.

The equation of exponential model is in the form of,

C(x)=Abx

Here, A and b are constant

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