SOLUTION: How do I find the average rate of speed for f(x)=5x^2+7 over the interval [x,x+h] I got 5h+10x but i do not think I am right

Algebra ->  Functions -> SOLUTION: How do I find the average rate of speed for f(x)=5x^2+7 over the interval [x,x+h] I got 5h+10x but i do not think I am right       Log On


   

Question 1187558: How do I find the average rate of speed for f(x)=5x^2+7 over the interval [x,x+h]

I got 5h+10x but i do not think I am right
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The average is the change in y (or f(x)) divided by the change in x:

%28f%28x%2Bh%29-f%28x%29%29%2F%28%28x%2Bh%29-x%29+=+%28f%28x%2Bh%29-f%28x%29%29%2Fh

%28%285%28x%2Bh%29%5E2%2B7%29-%285x%5E2%2B7%29%29%2Fh
%285%28x%5E2%2B2hx%2Bh%5E2%29%2B7-5x%5E2-7%29%2Fh
%285x%5E2%2B10hx%2B5h%5E2%2B7-5x%5E2-7%29%2Fh
%2810xh%2B5h%5E2%29%2Fh
10x%2B5h

Your answer is correct.

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

Hello,  the correct term for it is  " average rate of change ".

Your term  " average rate of speed "  is  INCORRECT.

      Such collection of words is   NEVER   USED.


Be careful with terminology : when you use it incorrectly (even one incorrect term), it just says a lot about you . . .