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

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

anonymous · Answer

Well, cost per passenger is C(t)/P(t).  Write out that equation.  It asks, "How fast is its cost per passenger changing after 8 months?"  But all you heard was "What is the derivative of the function evaluated at t=8?"