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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Tutor-Verified Answer
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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