Question

Jaxson mowed 12 lawns in 3 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answer 1

To create a table of equivalent ratios based on the information that Jaxson mowed 12 lawns in 3 hours, we can calculate the number of lawns mowed per hour and extend this to find equivalent ratios.

### Step 1: Determine the rate
Jaxson mows:
- 12 lawns in 3 hours
- Therefore, the rate is 12 lawns / 3 hours = 4 lawns per hour.

### Step 2: Create a table of equivalent ratios
We can represent the relationship between lawns mowed (y-axis) and hours spent (x-axis):

| Hours (x) | Lawns Mowed (y) |
|-----------|------------------|
| 0 | 0 |
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |

### Step 3: Plotting the points
You can plot the points on a coordinate graph where:
- The x-axis represents "Hours"
- The y-axis represents "Lawns Mowed"

The coordinates of the points based on the table are:
- (0, 0)
- (1, 4)
- (2, 8)
- (3, 12)
- (4, 16)
- (5, 20)

### Visualization
If you were to graph this, you would mark each of these points on the coordinate plane, and you should observe a straight line that illustrates the linear relationship between hours worked and lawns mowed. The slope of the line would be consistent, reflecting that Jaxson mows 4 lawns for every hour he works.

In a graphical tool or on graph paper, you can connect the points with a straight line to show the constant rate at which Jaxson mows lawns.