Question

A taxicab company charges $3.10 plus $0.60 per mile. Carmen paid a fare of $10.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.

Answer 1

13 miles

Explanation:

The taxicab charges a fixed amount of $3.10 plus $0.60 per mile.

This can be modeled by the equation.

`f= 0.60m + 3.10`

where f is the total fare and m is the number of miles traveled.

If Carmen paid a fare of $10.90, then we substitute for f and solve for m.

`0.6m + 3.10 = 10.90`

`0.6m = 10.90 - 3.10`

`0.6m = 7.8`

`m = (7.8)/(0.6)`

`m = 13`

Therefore Carmen traveled 13 miles.