2011 AMC8 Problem 10

#1
The taxi fare in Gotham City is \(\$2.40\) for the first \(\frac12\) mile and additional mileage charged at the rate \(\$0.20\) for each additional 0.1 mile. You plan to give the driver a \(\$2\) tip. How many miles can you ride for \(\$10\)?

\( \textbf{(A) } 3.0\\\textbf{(B) }3.25\\\textbf{(C) }3.3\\\textbf{(D) }3.5\\\textbf{(E) }3.75 \)
 
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