Amelia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.60 plus $0.50 per mile. The total fare was $13.60, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.
Let m be the number of miles in the taxi ride.
The total fare includes a pick-up fee of $4.60 and a charge of $0.50 per mile.
Therefore, the equation is:
Total fare = Pick-up fee + (Charge per mile x Number of miles)
$13.60 = $4.60 + ($0.50 x m)
Simplifying:
$9 = $0.50 x m
m = $9 รท $0.50
m = 18
Therefore, the number of miles in the taxi ride was 18 miles.