If the digits 7, 8, 2, 3 and 0 are used, each exactly once, to form a three-digit positive
integer and a two-digit positive integer that
differ by exactly 288, what is the sum of the
three-digit integer and the two-digit integer?

step-by-step explanation:

-6 is the correct option from the above given options

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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