Question

Your weekly revenue R ( in dollars ) from your T-shirt business can be modeled by R = -2t^2+87t+90 where t represents the number of weeks how much did you make your third week in business./

Answer 1

ANSWER

$ 333

EXPLANATION

The revenue you earn is modeled by the function,


`R(t) = - 2 {t}^(2) + 87t + 90`

where t is the number of weeks.

In your third week of business, we want to find how much dollars you will make.

So we plug t=3, into your revenue function to obtain;


`R(3) = - 2 {(3)}^(2) + 87(3)+ 90`


`R(3) = - 18+261+ 90`


`R(3) = 333`

Hence in the third week, you will make, 333 dollars