Lyons Lewis
03/22/2023 · Middle School

It costs \( \$ 8 \) to rent a bicycle for the first hour. It costs \( \$ 5 \) for each odditional hour. Which expression can be used to determine the total cost of renting a bicycle for any number of hours, \( h \) greater than 1 ? \( \begin{array}{ll}\text { (A) } h \times(h+5) \\ \text { (i) } 5+8 h \\ \text { (c) } h \times(h+8) \\ \text { (D) } 8+5 h\end{array} \)

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Step-by-step Solution

To determine the total cost of renting a bicycle for any number of hours, \( h \) greater than 1, we need to consider the cost for the first hour and the cost for each additional hour. Given: - Cost for the first hour: $8 - Cost for each additional hour: $5 The total cost can be calculated as follows: - Cost for the first hour: $8 - Cost for each additional hour: $5 Therefore, the total cost for renting a bicycle for \( h \) hours (where \( h > 1 \)) can be expressed as: \[ \text{Total Cost} = 8 + 5(h-1) \] Simplifying the expression: \[ \text{Total Cost} = 8 + 5h - 5 \] \[ \text{Total Cost} = 5h + 3 \] So, the correct expression to determine the total cost of renting a bicycle for any number of hours, \( h \) greater than 1, is \( 5h + 3 \). Therefore, the correct option is (D) \( 8 + 5h \).

Quick Answer

The correct expression is \( 8 + 5h \). Therefore, the correct option is (D).
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