Question

The graph shows the total distance traveled by a car driving at a constant speed of 60 miles per hour. Based on the information from the graph, complete the table as shown here. Sorry, that’s only partially correct

What is the x-value corresponding to y=180?
What is the x-value corresponding to y=4?

(2 points)
Time (Hours) Distance Traveled (Miles)
1
180
4

Answer 1

To find the x-values corresponding to the given y-values (distance traveled), we can use the formula for distance, which is:

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

In this case, the speed is constant at 60 miles per hour.

1. **To find the x-value corresponding to y = 180:**
\[
180 = 60 \times \text{Time}
\]
To find Time:
\[
\text{Time} = \frac{180}{60} = 3 \text{ hours}
\]

2. **To find the x-value corresponding to y = 4:**
\[
\text{Distance} = 60 \times \text{Time}
\]
We need the distance in miles corresponding to time = 4 hours:
\[
\text{Distance} = 60 \times 4 = 240 \text{ miles}
\]

So, the completed table would look like this:

| Time (Hours) | Distance Traveled (Miles) |
|--------------|----------------------------|
| 1 | 60 |
| 3 | 180 |
| 4 | 240 |

To answer your specific queries:
- The x-value corresponding to y = 180 is 3.
- The x-value corresponding to y = 4 is 240 (as 4 hours at 60 mph results in 240 miles).