Question
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.
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.
Answers
GPT-4o mini
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).
Let me know if you would like to know anything else regarding this scenario!
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).
Let me know if you would like to know anything else regarding this scenario!