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:

and
are points on the function
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:
<u>Section A</u>

<u>Section B</u>

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.
Answer:
your answer to that would be 5 other Geographic Square
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Hello from MrBillDoesMath!
Answer:
x >= 7
Discussion:
x + 5 >= 12 => add -5 to both sides
x + 5 -5 >= 12 - 5 => as 5-5 = 0 and 12 =5 = 7
x >= 7
Thank you,
MrB