SOLUTION: I submitted this earlier not sure what happened to it. Sorry if it doubled. A travel agency advertises all expenses paid trips to the grey cup game for special groups. Transpo

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I submitted this earlier not sure what happened to it. Sorry if it doubled. A travel agency advertises all expenses paid trips to the grey cup game for special groups. Transpo      Log On


   

Question 108660: I submitted this earlier not sure what happened to it. Sorry if it doubled.
A travel agency advertises all expenses paid trips to the grey cup game for special groups. Transportation is by bus which seats 48 passengers, and the charge per person is $80, plus an additional $2 for each empty seat.
a. if there are X empty seats, find the equations for
i) how many passengers are on the bus and
ii) how much does each pay?
b. What are the travel agency's total revenue when there are X empty seats?
c. Find the maximum receipts.
Could anyone help please? thank you
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
i) 48-X

ii) 80+2X

b. the product of i) and ii) ... -2X^2+16X-3840

c. the maximum lies on the axis of symmetry of the graph ... X=-b/2a