Question

The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?

1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles.
1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles.
2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles

Answer 1

Set up cost = pickup + per-mile * miles: 1.95x + 2.50 = 27.46.
Solve: 1.95x = 27.46 − 2.50 = 24.96, so x = 24.96 / 1.95 = 12.8 miles.

Correct choice: 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.