Math Corner: Totally Taxing

Question: Tax Day is April 15th. Suppose student Sally Jones wants to buy a new Toyota Camry. A dealer in Weston (Broward County – 5 miles each way) is offering the car for $25000 plus a 7% county sales tax. A dealer in Naples (Collier County- 75 miles each way) is offering the same car for $23500 plus a 7.5% county sales tax. A dealer in Daytona Beach (Volusia County – 250 miles away) is offering the same car for $23000 plus a 6.5% county sales tax. Assume the costs incurred for Sally’s travel to and from these dealers would be $1 per mile (tax included).

Which dealer should she buy from and how much would she pay?

The Dealer in Daytona Beach (paying $24995).
Math Corner” is a contest that appears in each issue of The Current and is a collaboration between NSU’s Department of Mathematics | NSU Halmos College of Arts and Sciences | NSU and NSU’s Department of Communication, Media, and the Arts | Halmos College of Arts and Sciences | NSU. Contest submissions to the Math Corner question in the Current’s latest issue can be sent to jgershma@nova.edu up until the date the next issue is published. Prizes are awarded at the end of the academic year.

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