Question

You travel a toll road that requires an 80 ​-cent token. If you buy a special​ car-pool sticker for $ 12.00 ​, then the tokens cost only 60 cents and you can use the express lane. At what point is the​ car-pool plan​ cheaper?

Answer 1

Both plans will cost the same at 60 trips or a payment of US$ 48. Starting on trip 61, the plan of the car-pool sticker will be cheaper.

Explanation:

1. Let's review the information given to us to answer the question correctly:

Price of the token without discount = US$ 0.80

Price of the special car pool sticker = US$ 12.00

Price of the token with discount = US$ 0.60

2. At what point is the​ car-pool plan​ cheaper?

For finding the number of the trips that make same plans equal. we use the following equation:

x = Number of trips

0.80x = 12 + 0.60x

0.80 - 0.60x = 12 (Subtracting 0.60x at both sides)

0.20x = 12

x = 60 (Multiplying by 5 at both sides)

Both plans will cost the same at 60 trips or a payment of US$ 48. Starting on trip 61, the plan of the car-pool sticker will be cheaper.