Question

Use the table to answer the question.

Applying the time and distance values from the table to determine the bus's speed.
Time spent driving (hours) Distance traveled (miles)
0 0
1/2
30
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

60 mph
60 mph

65 mph
65 mph

55 mph
55 mph

70 mph

1 answer

To find the speed of the bus, we can use the distance and time data provided in the table.

We can calculate the speed using the formula:

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

From the table, let's use the data for the distance and time at 2 hours to find the speed, as this is one of the complete data points.

According to the table:

  • Time spent driving = 2 hours
  • Distance traveled = 120 miles

Now we can calculate the speed:

\[ \text{Speed} = \frac{120 \text{ miles}}{2 \text{ hours}} = 60 \text{ mph} \]

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