SOLUTION: What is the average rate of change of y with respect to x over the interval [–2, 5] for the function y = 3x + 2? –9 3 1 over 3 –1

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Question 987332: What is the average rate of change of y with respect to x over the interval [–2, 5] for the function y = 3x + 2?
–9
3
1 over 3
–1

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Instead of doing your problem for you, I'll do one exactly in every detail
like yours so that you can do yours yourself using this as a model.  You
won't learn it as well if I do it for you, so I'll do this one instead:

What is the average rate of change of y with respect to x over the interval
[–7, 3] for the function y = 4x + 1?
When x=-7 at the beginning of the interval [-7, 3],
 y = 4x + 1 begins at y = 4(-7) + 1 = -28 + 1 = -27

When x=3 at the end of the interval [-7, 3],
 y = 4x + 1 ends up at y = 4(3) + 1 = 12 + 1 = 13

So y has changed -27 to 13, which is a change of 13-(-27) = 13+27 = 40
And x has changed from -7 to 3, which is a change of 3-(-7) = 3+7 = 10

So the average rate of change of y with respect to x over the interval
[-7, 3] is given by



Now do yours exactly the same way.

Edwin

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