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.

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) (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.
------------------
Average = [f(A)-f(1)]/[A-1]
---
88 = [8A^2 - 8]/[A-1]
-----------------------
8A^2 - 8 = 88A - 88
---
A^2 -1 = 11A - 11
---
A^2 - 11A + 10 = 0
-------
(A-10)(A-1) = 0
A = 10 or A = 1
=======================
Reasonable solution:
A = 10
==============================
Cheers,
Stan H.

RELATED QUESTIONS
Let f(t)=1/t. Find a value of t such that the average rate of change of f(t) from 1 to t (answered by RAY100)

Let f(t)=t^2+4t+2. Find a value of t such that the average rate of change of f(t) from (answered by nerdybill)

let f(x)= e^(x^2). at how many points in the closed interval [3,-3], does the... (answered by richard1234)

Let f(x)=3x^2-8x. find a such that... (answered by jsmallt9)

f(x)=x^2-2x a) Find the average rate of change of f from 1 to x. (answered by venugopalramana)

find the average rate of change of f(x)=x^2+6: a. from 1 to 3 b. from 2 to 4 c. from (answered by Alan3354)

Consider the function f(x) = x^2 + 9 a. Demonstrate how to find the average rate of... (answered by GingerAle)

Let F(x) = 2x^2+4x-5. Find the average rate of change, A, or F from x=a to x=a+h. Don't... (answered by richard1234)

Let f(x) be a polynomial such that f(0) = 4, f(1) = 6, and f(2) = -2. Find the remainder (answered by math_tutor2020)