Question

Find the average rate of change
50x/x+3 on (2,7)

Answer 1

If I may help?

Answer 2

@emac

Answer 3

your equation is \[y=\frac{ 50x }{ x+3 }\]

The rate of change of a function is the first derivative of this function

\[\frac{ dy }{ dx }=y'=y=\frac{ (x+3)*[50]-50x(1) }{ (x+3)^2 }=\frac{ 150 }{ (x+3)^2 }\]

Answer 4

To find the derivative at (2,7), substitute with x=2:
\[y'=\frac{ 150 }{ (2+3)^2 }=\frac{ 150 }{ (5)^2 }=\frac{ 150 }{ 25 }=6\]

That is it!


I hope that helps!

Answer 5

yes thank you!!

Answer 6

You are welcome!
Any Help... Any Time...

Answer 7

Thank you for the medal!