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

Answer:

13 miles

Step-by-step 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.

$0.6m + 3.10 = 10.90$

$0.6m = 10.90 - 3.10$

$0.6m = 7.8$

$m = \frac{7.8}{0.6}$

$m = 13$

Therefore Carmen traveled 13 miles.