Hello Please answer all parts and label according to number

Hello Please answer all parts and label according to number so it can be followed easily, thank you! This assignment has one question that is divided into various parts. Answer all the parts (l) (6). An airline uses planes with a capacity of 300 passengers on the Boston London route. 1. In general, the ticket price for a flight from Boston to London is $800 and the airline observes that, at this fare, the flight has 160 passengers onboard. The research department of the airline finds that each $10 reduction in the fare attracts 2 more passengers per flight. Let x be the number of passengers per flight and p be the ticket price for the flight. a Find the price-demand equation for the flight, assuming there is a linear relationship between p and x. b) Write down the revenue equation for the flight. c) Find the domain of the revenue function. Explain what the domain tells us in this context.

Solution

a. Here slope= changein price/change in number of passengers=-5

Now we use point slope formula

p-p₁=m(x-x₁)

p-800=-5(x-160)

p= -5x +1600

b. Revenue=price * number of passenger (-5x +800)x