Answer
a. When the airline charges 115 dollars per ticket, they will sell 1750 tickets in one week.
b. When the airline charges 115 dollars per ticket, sales are increasing by 220 sales per dollar (of ticket price).
c. When the airline charges 125 per ticket, sales are increasing by 22 sales per dollar (of ticket price).
Work Step by Step
a. We see the ticket price is set at 115 dollars by looking at $f(115)$ then we see that the total number of ticket sales is 1750 because it says that $f(115)=1750$ for the number of sales in one week.
b. We see that the ticket price is set at 115 dollars by looking at $f′(115)$, then we see it is prime so it means that we are looking at the change (in sales) per dollar. We get 220 tickets from looking at $f′(115)=220$ for the change in sales of tickets per dollar.
c. We see that the ticket price is set at 125 dollars by looking at $f′(125)$, then we see it is prime so it means that we are looking at the change (in sales) per dollar. We get 22 tickets from looking at $f′(115)=22$ for the change in sales of tickets per dollar.
