Chapter 8.4, Problem 8PPS

To determine

To find: Rate of change for each linear function.

Answer to Problem 8PPS

The rate of change in linear function is increase of 0.25 $/message.

Explanation of Solution

Given:

  

Calculation:

Consider the table that shows relation between number of messages and cost.

Number of messages [x]	Cost ($) [y]
4	1.00
6	1.50
8	2.0
10	2.50

The rate of change is change in one quality with respect to another quantity.

Mathematically:

  $Rateof\text{}\text{}\text{}\text{}change=\frac{change\text{}\text{}iny}{changeinx}$

Thus, the rate of change is change in cost with respect to change in number of messages.

So,

  $Rateofchange=\frac{1.00-1.50}{6-4}$

= $\frac{0.50}{2}$

=0.25

Conclusion:

Therefore, rate of change in linear function is increase of 0.25 $/message.