Question

The function C(x) = 25x^2 - 98x shows the cost of printing magazines (in dollars) per day at a printing press. What is the rate of change of cost when the number of magazines printed per day is 17?

Answer 1

Your rate of change is the derivative of this cost function:\[C \prime(x)=50x-98\]We want the rate of change of the cost when x=17. In putting x=17 into the derivtive gives:\[C \prime(x)=50(17)-98=$752/day\]