AMC8 2011 Problem 10

The taxi fare in Gotham City is \$ 2.40 for the first \dfrac{1}{2} 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 ?
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Answer Choices
A. 3.0
B. 3.25
C. 3.3
D. 3.5
E. 3.75