The flat rate and the fee per mile are the same, but there is a $1 discount off the fare when the distance traveled is greater than 10m. Tony’s cab fare on a holiday was $7.50.

Question

The flat rate and the fee per mile are the same, but there is a $1 discount off the fare when the distance traveled is greater than 10m. Tony’s cab fare on a holiday was $7.50. What is the equation for tony?

Answer 1

A 10 mile trip costs $7.00.

Since Tony paid $7.50 she went more than 10 miles

She went for $1.50 worth of miles extra. That is 3 miles

Tony went for 13 miles.

7.50 = 2 + 0.50m - 1

Answer 2

C(x)= F+Mx for x<10

C(x) =F-1 +Mx when x>10

F= flat Fee

x = number of miles

M = cost per mile

7.50 = F +Mx if x< 10

7.50 = F+Mx-1 if x>10

8.50 = F+Mx if x >10