A taxi company change $2.25 for the first 5 miles and $0.75 for each mile. If a passenger spent $6 on a trip, how many miles did he travel?

10 miles

Step-by-step explanation:

Setting up an equation where the variable 'x' = the number of miles, we can find the total mileage for the passenger's trip:

$6 = $0.75x + $2.25

$6 = the total amount of the trip

$0.75 = the cost for each mile after the initial 5 miles

$2.25 = the flat fee for the first 5 miles

Solve for 'x', subtract $2.25 from both sides: 6 - 2.25 = 0.75x + 2.25 - 2.25 or 3.75 = 0.75x

Divide by 0.75: 3.75/0.75 = 0.75x/0.75 or x = 5 miles

Since the passenger was charged in additional 5 miles, then the total mileage is 10 miles.