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?

Answer 1

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

Answer 2

Isaac traveled 12.8 miles by taxi for $27.46.

Explanation:

The formula required here is

$2.50 + ($1.95/mile)x = $27.46.

We need to solve this for x, the number of miles traveled:

Subtract $2.50 from both sides, obtaining:

($1.95/mile)x = $24.96

Now divide both sides by ($1.95/mile):

$24.96

------------------ = 12.8 miles

($1.95/mile)

Isaac traveled 12.8 miles by taxi for $27.46.