A charter airline finds that on its Saturday flights from Philadelphia to London, all 130 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one.

(a) Find a formula for the number of seats sold S if the ticket price is P dollars.

(b)Over a certain period, the number of seats sold for this flight ranged between 70 and 115. What was the corresponding range of ticket prices?

Question

A charter airline finds that on its Saturday flights from Philadelphia to London, all 130 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one.

(a) Find a formula for the number of seats sold S if the ticket price is P dollars.

(b)Over a certain period, the number of seats sold for this flight ranged between 70 and 115. What was the corresponding range of ticket prices?