Sales Analysis—Grocery Stores: The SuperValue Grocery chain announced a two-week sale in conjunction with the grand opening of its new location. The percentage of customers responding to the sale can be modeled by
f(x) = 65 − 80(0.71)x
where x is the day of the sale, and f(x) represents the percentage of customers who respond to the sale.
(a) Evaluate f(1) and interpret.
(b) Find the slope of the secant line for x = 4 and Δx = 3 and interpret.
(c) When does the percentage of customers responding to the sale first exceed 50%?
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