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Problem Solving (PS) | Re: If a taxi driver charges x cents for the first quarter-mile of a trip

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Bunuel wrote:

If a taxi driver charges x cents for the first quarter-mile of a trip and (x/5) cents for each additional quarter-mile, what is the charge, in cents, for a trip whose distance in miles is the whole number y?

A. (x+xy)/125

B. (4x + 4xy)/5

C. (4x+xy)/500

D. (4x+xy)/5

E. xy/25


Since 1 mile has 4 quarter-miles, a trip of y miles has 4y quarter-miles, and after the first quarter-mile that charges x cents, there are 4y - 1 additional quarter-miles that charge x/5 cents each. Thus, the total
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