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.

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.

darkknight · Answer

This should be fairly simple, as for you are given all the information. We know that the passenger is charged 2.5$ as he is picked up. And adds 1.95$ per mile. 1.95 is our slope and 2.5 is the y-intercept. If he was charged 27.46 then set the equation you obtained equal to 27.46. Then solve for x