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.

Answer 1

To find the rate at which the bus is traveling, we can use the distance and time data provided in the table.

The rate of travel (speed) can be calculated using the formula:

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

From the table, we can extract a pair of distance and time values. For instance, when 2 hours are spent driving, the distance traveled is 120 miles. Using these values:

• Time = 2 hours
• Distance = 120 miles

Now we can calculate the rate:

\[ \text{Rate} = \frac{120 \text{ miles}}{2 \text{ hours}} = 60 \text{ miles per hour} \]

Therefore, the bus is traveling at a rate of 60 miles per hour.

Additionally, you can also confirm this with other points from the table (like 4 hours for 240 miles), and you will find that the rate remains the same:

\[ \text{Rate} = \frac{240 \text{ miles}}{4 \text{ hours}} = 60 \text{ miles per hour} \]

Thus, the consistent rate of travel for the bus is indeed 60 miles per hour.