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

$Rate\text{ of change=}\frac{8-4}{2-1}=\frac{12-8}{3-2}=\frac{4}{1}=4$

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

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