Two functions, f (x) and g (x), are given below. Determine which of these functions has the greater average rate of change over the interval 2 ≤ x ≤ 6. Choose the option below which best describes the correct answer.

the answer is d

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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).