A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.

Question

the car travels 65 miles in 1 hour.
65 miles per hour is the constant of proportionality
The car is travelling in 65 hours.
The car is travelling for 65 miles for half an hour.

Answer 1

Based on the equation \( d = 65t \), where \( d \) is the distance travelled in miles and \( t \) is the time in hours, we can analyze several scenarios based on the information provided.

1. Distance after Traveling for 1 Hour: \[ d = 65(1) = 65 \text{ miles} \] So, the car travels 65 miles in 1 hour.

2. Constant of Proportionality: The constant of proportionality in this case is indeed 65, which represents the speed of the car in miles per hour (mph).

3. Distance after Traveling for 65 Hours: \[ d = 65(65) = 4225 \text{ miles} \] If the car travels for 65 hours, it will cover 4225 miles.

4. Distance after Traveling for Half an Hour: \[ d = 65(0.5) = 32.5 \text{ miles} \] The car travels 32.5 miles in half an hour (0.5 hours).

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