SOLUTION: Let f(x)=8x^2. Find a value A such that the average rateof change of f(x) from 1 to A equals 88.

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Question 212471: Let f(x)=8x^2.
Find a value A such that the average rateof change of f(x) from 1 to A equals 88.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=8x^2.
Find a value A such that the average rateof change of
f(x) from 1 to A equals 88.
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Average = [f(A)-f(1)]/[A-1]
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88 = [8A^2 - 8]/[A-1]
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8A^2 - 8 = 88A - 88
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A^2 -1 = 11A - 11
---
A^2 - 11A + 10 = 0
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(A-10)(A-1) = 0
A = 10 or A = 1
=======================
Reasonable solution:
A = 10
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Cheers,
Stan H.