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

Faster than
Faster than

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

Answer 1

To find the speed of the motorcycle, we can calculate the unit rate (or speed) by dividing the total distance traveled by the total time taken.

The motorcycle traveled 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 faster than 65 miles per hour, we conclude that the motorcycle is going:

Faster than the speed limit.