Question

Find the average rates of change of each function for each 1-hour interval from t=0 to t=6

Answer 1

Step 1

Given;

`Organization\text{ A, B and C}`

Required; To determine the type of function representing each company

Step 2

Determine the type of function for company A

`Since\text{ the number of donations quadruples each hour company A has an exponential}`

An exponential function represents the number of donations collected by organization A

Determine the type of function for company B

`Rate\text{ of change=}(8-4)/(2-1)=(12-8)/(3-2)=(4)/(1)=4`

Since the rise and the run measured at points on the table are the same a linear function represents the number of donations collected by organization B.

Determine the type of function for company C

A quadratic function represents the number of donations collected by organization C

Step 3

Fill the chart.

Average rate of change for company A