Question

The Nevada Taxicab Authority has set standard fares and fees. To pick up a passenger, the cab company charges a fee of $3.30. For each mile the cab carries the passenger, there is a charge of $2.40 per mile. If a passenger is charged $101.22, how many miles did the passenger travel in the cab? Round your answer to the nearest tenth.

Answer 1

The passenger has drove 40.8 miles in cab

Solution:

Given that, To pick up a passenger, the cab company charges a fee of $3.30

Let "x" be the number of miles

For each mile the cab carries the passenger, there is a charge of $2.40 per mile

Therefore,

Total charge = 3.30 + 2.40 ( number of miles )

Total charge = 3.30 + 2.40x

Given that passenger is charged $ 101.22

Therefore, total charge = 101.22

101.22 = 3.30 + 2.40x

Solve the above expression for "x"

2.4x = 101.22 - 3.3

2.4x = 97.92

x = 40.8

Thus the passenger has drove 40.8 miles in cab