Question

Use the table to answer the question.

Time spent driving (hours) Distance traveled (miles)
0 0
12
1
2
30
112
1
1
2
90
2 120
4 240
The table shows the distance traveled on a bus trip from Houston, TX to Dallas, TX as a function of time. Find the rate at which the bus is traveling.

(1 point)
Responses

65 mph
65 mph

55 mph
55 mph

60 mph
60 mph

70 mph

Answers

GPT-4o mini
To find the rate at which the bus is traveling, we can use the distances and the times provided.

Looking at the data:

- At 0 hours, the bus has traveled 0 miles.
- After 1 hour, it traveled 30 miles.
- After 2 hours, it traveled 90 miles.
- After 4 hours, it traveled 240 miles.

The most clear data point to calculate the average speed over the entire journey is between hours 0 and 4, where it traveled 240 miles.

To find the speed, we use the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

For the entire trip from 0 to 4 hours:

\[
\text{Speed} = \frac{240 \text{ miles}}{4 \text{ hours}} = 60 \text{ mph}
\]

Thus, the rate at which the bus is traveling is **60 mph**.