Question

The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.

f'(70) = 1.5
When the ticket price is _____, the weekly profit to the airline on flights from Boston to Washington is _____

Answer 1

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Explanation:

The function has the following format:

f(p)

That is, f is a function of p.

The derivative, f'(p), is the variation of f for the given value of p.

f'(70) = 1.5

p = 70, thus, ticket price of $70.

f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.

Thus the correct answer is:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.