Average Rate of Change question

[ihatecalc]

I have a bunch of problems like this to solve. if i figure out how to do one, i'm sure i'll see able to do the others.

It states:

If f(1)=2 and the average rate of change of f from x=1 to x=5 is 3, what's f(5)?

 

[pka]

\(\displaystyle \L
\frac{{f(5) - f(1)}}{{5 - 1}} = \frac{{f(5) - 2}}{4} = 3\)

Solve for f(5).

 

[ihatecalc]

thank you! what is the name of that equation? (like.. what is it used to find?)

 

[pka]

The average rate of change of \(\displaystyle f(x)\) on \(\displaystyle \[ a,b \]\) is
\(\displaystyle \L
\frac{{f(b) - f(a)}}{{b - a}}\).