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)

Question

Responses

Equal to
Equal to

Slower than
Slower than

Cannot be determined by the information provided.
Cannot be determined by the information provided.

Faster than

Answer 1

To find the unit rate, we can determine the speed of the motorcycle by dividing the total distance by the total time.

The motorcycle travels 300 miles in 4 hours, so we calculate the speed as follows:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300 \text{ miles}}{4 \text{ hours}} = 75 \text{ miles per hour} \]

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.