Josiah drove 130 miles in 5 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Miles	Hours
26	
130	  5
7


To fill out the table of equivalent ratios for Josiah's drive, we'll first calculate the rate of miles per hour. He drove 130 miles in 5 hours, so the rate is:

\[
\text{Rate} = \frac{130 \, \text{miles}}{5 \, \text{hours}} = 26 \, \text{miles per hour}
\]

Now we can fill in the table by calculating the distance covered for each number of hours.

| Miles | Hours |
|-------|-------|
| 26    | 1     |
| 52    | 2     |
| 78    | 3     |
| 104   | 4     |
| 130   | 5     |
| 182   | 7     |

### Plotting the points:
The points to plot on the coordinate axes are:

- (1, 26)
- (2, 52)
- (3, 78)
- (4, 104)
- (5, 130)
- (7, 182)

These points will form a straight line since the relationship between miles and hours is linear with a constant rate of 26 miles per hour.

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Do you have any questions or need details on the plotting process?

### Related Questions:
1. How can you find the rate from any two points on the line?
2. How does the graph change if Josiah's speed were to increase?
3. What is the equation of the line that represents this relationship between miles and hours?
4. If Josiah drove for 10 hours, how many miles would he have driven?
5. How does this situation relate to the concept of direct proportionality?

### Tip:
When plotting points based on a constant rate, the graph will always form a straight line, representing a linear relationship.

Josiah drove 130 miles in 5 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Discover how to solve equivalent ratios by calculating the rate of 26 miles per hour for Josiah's 130-mile drive. This solution demonstrates how to fill out a table of distances over different times and plot the points on a graph to show a linear relationship. Suitable for Grades 6-8 students.

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