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?

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.

Step-by-step 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.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

the answer is 375 miles

step-by-step explanation: