Question

bill is comparing the price rates of two airport shuttles. he wants to know when the price to travel from his house to the airport will be the same for both companies. Sam's vans :$2.00 plus 50 cents per mile. rocks rides: $1.00 plus 75 cents per mile

Answer 1

2.00 + .50x
1.00 + .75x

2.00 + .50x = 1.00 + .75x
- .50x = - .50x
—————————————
2.00 = 1.00 + .25x
-1.00 = -1.00 + .25x
—————————————-
1.00 = .25x
—— ——
.25 .25
4 = x

Answer is 4

Answer 2

Let x = number of miles.

Price of Sam's Vans: 2 + 0.5x
Price of Rock Rides: 1 + 0.75x

Set the prices equal to each other, and solve for x, the number of miles.

2 + 0.5x = 1 + 0.75x

-0.25x = -1

x = 4

Answer: The two prices are equal when he travels 4 miles.