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Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

Now, let's find the slopes for each of the sections of the function:

Section A

Section B

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

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step-by-step explanation: