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 equal ... so 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