For what value of x is the rational expression below
equal to zero?

x=4

Step-by-step explanation:

(x-4)/(x-6) = 0

Multiply each side by (x-6)

(x-4)/(x-6) * (x-6) = 0* (x-6)

x-4 = 0

Add 4 to each side

x-4+4 =0+4

x =4

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).