A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or F = $2.25 + $0.20 (m - 1) where F is the fare and m is the number of miles.

If Juan's taxi fare was $7.65, how many miles did he traveled in the taxi?

Answer: Juan travelled 28 miles in the taxi

Step-by-step explanation:

A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20 (m - 1)

So if F represents the fare, then

F = $2.25 + $0.20 (m - 1)

If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,

F = $2.25 + $0.20 (m - 1). It becomes

7.65 = 2.25 + 0.20 (m-1)

7.65 = 2.25 + 0.20m - 0.20

7.65 - 2.25 + 0.20 = 0.2m

0.2m = 5.6

m = 5.6/0.2 = 28 miles