Question
Jeff used the fact that a motorcycle can travel 300 miles in 4 hours to find the unit rate. If the speed limit on the highway is 65 miles per hour, is the motorcycle going faster than, slower than, or equal to the speed limit?(1 point)
Responses
Cannot be determined by the information provided.
Cannot be determined by the information provided.
Faster than
Faster than
Equal to
Equal to
Slower than
Responses
Cannot be determined by the information provided.
Cannot be determined by the information provided.
Faster than
Faster than
Equal to
Equal to
Slower than
Answers
GPT-4o mini
To find the speed of the motorcycle, we can calculate the unit rate (speed) by dividing the distance traveled by the time taken.
The motorcycle travels 300 miles in 4 hours:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300 \text{ miles}}{4 \text{ hours}} = 75 \text{ miles per hour}
\]
Now we can compare this speed to the speed limit of 65 miles per hour.
Since 75 miles per hour is greater than 65 miles per hour, we can conclude that the motorcycle is going **faster than** the speed limit.
Therefore, the correct response is:
**Faster than**
The motorcycle travels 300 miles in 4 hours:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300 \text{ miles}}{4 \text{ hours}} = 75 \text{ miles per hour}
\]
Now we can compare this speed to the speed limit of 65 miles per hour.
Since 75 miles per hour is greater than 65 miles per hour, we can conclude that the motorcycle is going **faster than** the speed limit.
Therefore, the correct response is:
**Faster than**