Question

35. The school is planning to build a new stadium over the summer.The cost to rent a construction crane for a dayl is $750 plus $250per hour to use. What is the rate of change of cost with respectto hours rented?

Answer 1

The cost function is given by

C(t)=250t+750

Where

C(t) is the cost to rent a crane in t hours of use in a day.

t is the number of hours of use

And the derivatitve of the cost function with respect to t is given by

dC/dt=250

Hence, the rate of change of cost with respect to hours rented 250 dollars per hour