Question

Use the table to answer the question.

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

70 mph
70 mph - no response given

65 mph
65 mph - no response given

55 mph
55 mph - incorrect

60 mph
60 mph - no response given
Remaining Attempts : 1
Incorrect

Using any two points, (0−120)4−2=−1202=−60
, or a rate of 60 mph.
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Answer 1

To find the rate at which the bus is traveling, we can use the distance traveled and the time spent driving.

From the table, we have the following points:

- At 2 hours, the bus has traveled 120 miles.
- At 4 hours, the bus has traveled 240 miles.

To find the rate (speed), we can use the formula:

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

We will use the point (2 hours, 120 miles) and (4 hours, 240 miles):

1. The change in distance from 2 to 4 hours:
- Distance at 4 hours: 240 miles
- Distance at 2 hours: 120 miles
- Change in distance = \( 240 - 120 = 120 \) miles

2. The change in time from 2 to 4 hours:
- Time at 4 hours: 4 hours
- Time at 2 hours: 2 hours
- Change in time = \( 4 - 2 = 2 \) hours

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**.