Consumer Mathematics—Sales Projections: The use of recreational utility vehicles (RUVs) is...

Consumer Mathematics—Sales Projections: The use of recreational utility vehicles (RUVs) is an off-road adventure activity that has gained in popularity in recent years. The Desert Fox Dune Buggy Company launches a sales blitz for its new Family Buggy RUV and offers a 30% discount during the first week of sales. The projected percentage of customers who respond to this sale can be modeled by

where x represents the number of days since the sales blitz and f(x) represents the number of customers who respond to the sale.

(a) Evaluate f(1) and interpret.

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(b) Compute the slope of the secant line for x = 2 and Δx = 2 and interpret.

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(c) Determine and interpret.