Answer:the number of miles that Henry traveled is 15
Step-by-step explanation:
Let m represent the number of miles travelled.
City Cab charges a flat fee of $3 plus 0.50 per mile. This means that the total amount that city Cab charges for m miles would be
3 + 0.5m
Henry paid $10.50 for a cab ride across town.
The equation representing Henry's cab ride would be
3 + 0.50m = 10.50
Subtracting 3 from both sides of the equation, it becomes
3 - 3 + 0.50m = 10.50 - 3
0.5m = 7.5
m = 7.5/0.5 = 15 miles