The initial charge for Timothy’s Taxi Service is $2.50 for the first mile, with an additional charge of $0.75 for each additional mile. We can set up an equation with c being the total charge and m being the total number of additional miles traveled:
Substitute 10 in for c and solve for m:
10 = 2.5 + 0.75m
7.5 = 0.75m
m = 7.5/0.75=10
Add 1 for the first mile traveled. Our answer is 10 + 1 = 11 miles.