Use the table to answer the question.

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

Answer 1

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.