Jeff used the fact that a motorcycle can travel 500 miles in 8 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

Faster than
Faster than

Slower than
Slower than

Equal to
Equal to

Cannot be determined by the information provided.

1 answer

To find the unit rate (speed) at which the motorcycle is traveling, we divide the total distance by the total time:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{500 \text{ miles}}{8 \text{ hours}} = 62.5 \text{ miles per hour} \]

Now we can compare this speed with the speed limit of 65 miles per hour:

  • 62.5 miles per hour (motorcycle speed) is less than 65 miles per hour (speed limit).

Therefore, the motorcycle is traveling slower than the speed limit.

The correct response is: Slower than