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.

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given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: