Walk me through this please?!

Question

Given that a company's net sales in billion is given by S(t) where t is the number of years since 2000. What were the 1) net sales and 2) rate of change in sales in year 2010?

 

S(t)=-0.25x^3+2.3x^2+10x    x≥0

Answer 1

For net sales you need to stick the number in the formula. The number is the number of the years since 2000. So the number is 10. 

 

For the rate of change you could take a derivative of the function S(t) and after you get a new function put the number 10 in that. And this is how you get your rate of change.

 

If you don't know how to take a derivative, you could just take a difference between the S(10) and S(11). Depend on where you are in your class. But for calculus you need to take a derivative. 

 

Do you need more help with this?