SOLUTION: What's the average rate of change for the sqrt 5x+7 between f(a) =16 & f(b)=25

Algebra ->  Functions -> SOLUTION: What's the average rate of change for the sqrt 5x+7 between f(a) =16 & f(b)=25       Log On


   

Question 803092: What's the average rate of change for the sqrt 5x+7 between f(a) =16 & f(b)=25
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What's the average rate of change for the sqrt 5x+7 between f(a) =16 & f(b)=25
============
Do you mean f%28x%29+=+sqrt%285x%2B7%29 ?
If so, find a and b
----------
f%28a%29+=+sqrt%285a%2B7%29+=+16
Square both sides
5a+7 = 256
a = 249/5
----------------
f%28b%29+=+sqrt%285b%2B7%29+=+25
Square both sides
5b+7 = 625
b = 618/5
------------
b - a = 369/5
---------
f(b) - f(a) = 9
Avg rate = (369/5)/9
= 41/5