Mr. gardner is contemplating which shuttle service to take to the airport. fast shuttle charges a $5 pick up fee and 0.25 per mile. steady shuttle charges a $2 pick-up fee and 0.50 per mile. when will the two plans cost the same amount?

Fast shuttle : 5 + 0.25m
steady shuttle : 2 + 0.50m

when will they be equalso set them equal and solve for m, the number of miles

5 + 0.25m = 2 + 0.50m
5 - 2 = 0.50m - 0.25m
3 = 0.25m
3 / 0.25 = m
12 = m <=== so they will cost the same at 12 miles