Chapter 5.1, Problem 20P

State the independent variable and the dependent variable in each situation. Then find the rate of change for each situation.

Shelly delivered 12 newspapers after 20 minutes and 36 papers after 60 minutes.

To determine

To find: The rate of change for the given situation “Shelly delivered 12 newspapers after 20 minutes and 36 papers after 60 minutes.”.

Answer to Problem 20P

In the given situation, the independent variable is time and the dependent variable is number of newspapers. The rate of change is $\frac{3}{5}$ .

Explanation of Solution

Given information:

Shelly delivered 12 newspapers after 20 minutes and 36 papers after 60 minutes.

In the given situation, the independent variable is time and the dependent variable is number of newspapers.

Rate of change:

  $\frac{\text{Change in number of news papers}}{\text{Change in time}}=\frac{36-12}{60-20}=\frac{24}{40}=\frac{3}{5}$

Conclusion:

Therefore, in the given situation, the independent variable is time and the dependent variable is number of newspapers. The rate of change is $\frac{3}{5}$ .