Afitness 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. a. y = -50x2 + 2,975x + 14,400 b. y = -50x2 + 3,425x + 14,400 c. y = -50x2 + 1,150x + 14,400 d. y = -50x2 + 2,050x + 14,400

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

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