Question

Q 1) each unit of a certain commodity costs p = 43x + 96 cents when x units of the commodity are produced. if all units are sold at this price, express the revenue derived from the sales as a function of x.

Q 2) two car rental agencies are competing. one agency rents cars for $50 per day and $.30 a mile; the other agency rents cars for $30 per day and $.50 a mile. For a 9 day trip, how many miles must you travel to have the total cost be the same with each agency?

Q 3) a closed cylindrical can has a surface area of 400 pie square inches. express the volume of the can as a function of its radius r.

Answer 1

Miles to travel for same cost = ($50-30) / ($0.50-0.30) = 100 miles a day
For 9 day trip, it will be 900 miles i.e. 100 x 9 = 900 miles

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