Question

Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) = 10,000 + t2 dollars after t months. After t months the company had P(t) = 1,000 + t2 passengers per month. How fast is its cost per passenger changing after 8 months? HINT [See Example 8(b).] (Round your answer to two decimal places.)

$_____________ per month

Answer 1

Cost per passenger = C(t)/P(t) Derivative of C(t)/P(t) = (C'(t)P(t)-C(t)P'(t))/(P(t))² Rate of change at t=2 = (C'(2)P(2)-C(2)P'(2))/(P(2))² 
Now do it by your own....