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]?

Question

Mathematics

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17 January, 08:25

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]?

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Answers (1)

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Puppy · 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