2011 AMC 8 Problem 10

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.