Let's break down the process of finding the cost of a 30-minute taxi ride step-by-step:
1. Given Data:
- A 12-mile taxi ride takes 14 minutes.
- The cost of this 12-mile ride is [tex]$8.40.
2. Calculate the Unit Price Per Minute:
- To find the unit price per minute (cost per minute), we divide the total cost of the ride by the number of minutes it took.
\( \text{Unit Price Per Minute} = \frac{\$[/tex]8.40}{14 \text{ minutes}} \)
- Performing the division:
[tex]\( \text{Unit Price Per Minute} = \$0.60 \)[/tex]
3. Calculate the Cost of a 30-Minute Taxi Ride:
- Now that we know the unit price per minute, we can determine the cost of a 30-minute taxi ride by multiplying the unit price per minute by 30 minutes.
[tex]\( \text{Cost of 30-minute Ride} = \text{Unit Price Per Minute} \times 30 \text{ minutes} \)[/tex]
- Substituting the unit price per minute:
[tex]\( \text{Cost of 30-minute Ride} = \$0.60 \times 30 \)[/tex]
- Performing the multiplication:
[tex]\( \text{Cost of 30-minute Ride} = \$18.00 \)[/tex]
So, the cost of a 30-minute taxi ride is [tex]$18.00, and the unit price needed is $[/tex]0.60 per minute.
