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Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hour. When three or more bikes are rented together, the owner gives a 20% discount on the additional hours. If Marty and his family rent four bicycles, identify the expression which represents the cost.

A) 12.8x + 20x
B) 12.8x + 20
C) 12.8x + 16x
D) 32.80x

User Nitek
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2 Answers

3 votes
Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

Answer: option B) 12.8x + 20
User Vasilenicusor
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8.5k points
3 votes

Answer: The correct option is (B)
12.8x+20.

Step-by-step explanation: Let, 'x' be the number of hours for which the bicycle is rented except the first hour.

Then, according to the given information, the cost of renting 1 bicycle is given by


c=4x+5.

There is a discount of 20% on additional hours 'x' when three or more bikes are rented together.

Since Marty and his family rent four bicycles, so the discount on additional hours for 1 bicycle is given by


D=20\%* 4x=(20)/(100)* 4x=(4)/(5)x.

Therefore, the total cost of renting 4 bicycles is given by


C=4\left(5+(4x-(4)/(5)x)\right)=4\left(4+3.2x\right)=12.8x+20.

Thus, the required expression for the cost is
12.8x+20.

Option (B) is correct.

User Fangxin
by
9.6k points