Question

Fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined that each time the membership fees increase by $5, approximately 10 members leave and go to a different gym.

Write an equation that can be used to find the revenue of the fitness center in dollars, y, after x price increases of $5.

y = -50x2 + 1,150x + 14,400

y = -50x2 + 3,425x + 14,400

y = -50x2 + 2,975x + 14,400

y = -50x2 + 2,050x + 14,400

Answer 1

y = -50x2 + 1,150x + 14,400 - This one seems to be the closest to the answer

Answer 2

y= -50x^2+1,150x+14,400

Explanation:

fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined that each time the membership fees increase by $5, approximately 10 members leave and go to a different gym.

LEt x be the number of price increases of $5

y is the revenue

Revenue= membership fee * members

for x number of increase in fee by 5 then member ship fee becomes 45+5x

approximately 10 members leave, so members becomes (320-10x)

y = (45+5x) (320-10x)

Multiply it using FOIL method

y=45 * 320 +45*(-10x) + 5x * 320 + 5x * (-10x)

y=14400 - 450x + 1600x - 50x^2

Combine like terms

y= -50x^2+1150x+14400