Question

For a fundraiser, Marcus needs to raise $600 in order to meet his goal. Marcus will walk a certain number of miles, and he will receive donations for each mile he walks. The table represents the amount of money he has left to raise after x miles of walking.
x-2, 4, 6, 8, 10, 12
g(x) 536, 472, 408, 344, 280, 216
What is the average rate of change over the interval [6, 10]?

Answer 1

-32

Step-by-step explanation:

Step 1:

The  rate of change over an interval is got by finding the change in g(x),  the change in x and dividing it.

Step 2:

Given, x denotes the number of miles walked by Marcus for the fund raiser

g(x) denotes the amount of money he has left to raise after x miles of walking

g(x) for the interval [6,10] is 408,280

Change in x  = 10-6 = 4

Change in g(x) = 280-408 = - 128

Rate of change = -128/4 = -32

Hence the average change in rate over the given interval is -32