Question
For a ride on a rental scooter, Kareem paid an \( \$ 8 \) fee to start the scooter plus 6 cents per minute of the ride. The total bill for Kareem's ride was \( \$ 18.98 \). For how many minutes did Kareem ride the scooter?
Ask by Ayala Hill. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Kareem rode the scooter for 183 minutes.
Solution
To determine the number of minutes Kareem rode the scooter, let's break down the costs:
1. **Initial Fee:** \$8
2. **Per Minute Charge:** \$0.06 per minute
The total bill is given as \$18.98. We can set up the equation:
\[
\text{Total Cost} = \text{Initial Fee} + (\text{Per Minute Charge} \times \text{Number of Minutes})
\]
Plugging in the known values:
\[
18.98 = 8 + 0.06m
\]
Subtract \$8 from both sides to isolate the variable term:
\[
18.98 - 8 = 0.06m
\]
\[
10.98 = 0.06m
\]
Now, solve for \( m \):
\[
m = \frac{10.98}{0.06} = 183
\]
**Kareem rode the scooter for 183 minutes.**
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Simplify this solution Bonus Knowledge
To find out how many minutes Kareem rode the scooter, we start with the total cost equation: \[ \text{Total Cost} = \text{Initial Fee} + (\text{Cost per Minute} \times \text{Number of Minutes}) \] Given that the initial fee is \( \$8 \) and the cost per minute is \( 6 \) cents (or \( 0.06 \) dollars), we can express the total cost as: \[ 18.98 = 8 + 0.06m \] where \( m \) is the number of minutes. We first subtract the initial fee from both sides: \[ 18.98 - 8 = 0.06m \] This simplifies to: \[ 10.98 = 0.06m \] Next, we solve for \( m \) by dividing both sides by \( 0.06 \): \[ m = \frac{10.98}{0.06} = 183 \] Thus, Kareem rode the scooter for **183 minutes**.
