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 60 mph 60 mph 65 mph 65 mph 55 mph 55 mph 70 mph

Answer 1

To find the rate at which the bus is traveling, we can use the formula for speed, which is:

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

Looking at the data provided in the table, we can choose any two points to calculate the speed. For simplicity, we will use the first and the last data points:

1. Distance traveled at 0 hours is 0 miles.
2. Distance traveled at 4 hours is 240 miles.

Using the values at these two points, we calculate the speed:

\[
\text{Time} = 4 \text{ hours}
\]
\[
\text{Distance} = 240 \text{ miles}
\]

Now, applying the speed formula:

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

Thus, the rate at which the bus is traveling is **60 mph**.