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.

A12.8x + 20x
B12.8x + 20
C12.8x + 16x
D32.80x

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Edufirst Edufirst · Answer 1 · 2016-05-25T21:31:53-04:00

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

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ColinJacobus ColinJacobus · Answer 2 · 2019-03-28T13:31:58-04:00

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

$D=20\%\times 4x=\dfrac{20}{100}\times 4x=\dfrac{4}{5}x.$

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

$C=4\left(5+(4x-\dfrac{4}{5}x)\right)=4\left(4+3.2x\right)=12.8x+20.$

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

Option (B) is correct.