Use the table to answer the question.

Time and Distance Values for Determining Bus Speed
Time spent driving (hours) Distance traveled (miles)
0 0
12
30
112
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

60 mph
60 mph

55 mph
55 mph

70 mph

1 answer

To find the rate at which the bus is traveling, we can determine the total distance traveled and the total time taken.

From the table, we know that:

  • At 0 hours, the distance is 0 miles.
  • At 2 hours, the distance is 120 miles.
  • At 4 hours, the distance is 240 miles.

Let's use the data at the 4-hour mark to find the speed, as it gives us a good total distance covered.

Total distance covered: 240 miles
Total time taken: 4 hours

Now, we calculate the speed (rate) using the formula:

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

Substituting the values we have:

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

Therefore, the rate at which the bus is traveling is 60 mph.

The correct response is:

60 mph