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The problem asks to complete a table of equivalent ratios based on Omar mowing 12 lawns in 4 hours, and to plot the points on the provided graph.

### Step 1: Understanding the ratio

The given information is that Omar mows 12 lawns in 4 hours. This gives us a ratio:
\[
\frac{12 \text{ lawns}}{4 \text{ hours}} = 3 \text{ lawns per hour}
\]

### Step 2: Fill out the table with equivalent ratios

The first row of the table asks for how many hours it takes Omar to mow 3 lawns. Since the rate is 3 lawns per hour, it takes 1 hour to mow 3 lawns. This completes the first blank:
\[
\text{Lawns: } 3, \text{ Hours: } 1
\]

The last row asks how many lawns Omar would mow in 7 hours. Since he mows 3 lawns per hour, in 7 hours he would mow:
\[
3 \times 7 = 21 \text{ lawns}
\]
Thus, the last row is:
\[
\text{Lawns: } 21, \text{ Hours: } 7
\]

### Step 3: Completed table
\[
\begin{array}{|c|c|}
\hline
\text{Lawns} & \text{Hours} \\
\hline
3 & 1 \\
12 & 4 \\
21 & 7 \\
\hline
\end{array}
\]

### Step 4: Plotting the points
Now, plot the following points on the coordinate plane, where lawns are on the y-axis and hours are on the x-axis:
- (1, 3)
- (4, 12)
- (7, 21)

These points should form a straight line because the relationship is linear (3 lawns per hour).

---

Would you like more details on how to plot the points or explanations of the ratios? Here are 5 related questions you can consider:

1. How do you calculate equivalent ratios for different values?
2. What is the formula for determining linear relationships between two variables?
3. How do you know if a relationship between variables is proportional?
4. What is the significance of the slope in a linear equation like this?
5. How do you graph a line based on ratio points?

**Tip:** When plotting points for ratios or proportional relationships, the graph will form a straight line through the origin if the ratio remains constant.

Omar mowed 12 lawns in 4 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Complete the table of equivalent ratios based on Omar mowing 12 lawns in 4 hours. Learn how to calculate equivalent ratios and plot the points on a coordinate plane. This problem is suitable for students in Grades 6-8, covering key concepts in ratios, proportionality, and linear equations.

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