Jonah rented a car for two days and his bill came to $108.00 . The rental company charged $30 a day and 15`cancelc` for each mile driven. If x is the number of miles that Jonah drove , which equation correctly determines x ?

Options

A. 30x+15(2)=108
B. 0.15x+30(2)=108
C. 15x+30(2)=108
D. 15x+30(2)=10,800

Answer

To determine the equation that represents the total cost of renting the car, we need to break down the costs involved:

1. **Daily Rental Cost**: Jonah rented the car for 2 days, and the rental company charges $30 per day. Therefore, the total cost for the rental is:
\[ \text{Total rental cost} = 30 \times 2 = 60 \text{ dollars} \]

2. **Mileage Cost**: The rental company charges $0.15 (or 15 cents) for each mile driven. If \( x \) is the number of miles driven, then the total cost for mileage is:
\[ \text{Total mileage cost} = 0.15 \times x \]

3. **Total Bill**: The total bill Jonah received was $108. This total bill is the sum of the rental cost and the mileage cost. Therefore, we can write the equation:
\[ \text{Total bill} = \text{Total rental cost} + \text{Total mileage cost} \]
Substituting the expressions we found:
\[ 108 = 60 + 0.15x \]

4. **Final Equation**: Rearranging this equation gives us:
\[ 0.15x + 60 = 108 \]

Thus, the equation that correctly determines \( x \) is:
\[ 0.15x + 60 = 108 \]