You are riding in a taxicab. At 1.5 miles, the fare on the meter is $4.55. At 3.2 miles, the fare is $7.78. How far can you travel if you have $35.00? Round your answer to the nearest tenth of a mile.

Answer 1

an extra 1.7 miles cost an extra $3.23, so that's a rate of $1.90/mi

So, the cost for x miles is

c(x) = 1.90x + 1.70

so, set c=35.00 and solve for x