Question

For Riley's lemonade recipe, 9 lemons are required to make 18 cups of lemonade. 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 Riley's lemonade recipe, we know that 9 lemons produce 18 cups of lemonade. We can express the ratio of lemons to cups of lemonade as:

\[
\frac{9 \text{ lemons}}{18 \text{ cups}}
\]

This simplifies to:

\[
\frac{1 \text{ lemon}}{2 \text{ cups}}
\]

Using this ratio, we can generate a table of equivalent ratios by multiplying both the number of lemons and the number of cups by the same factor.

Here’s a table of equivalent ratios:

| Lemons | Cups |
|--------|------|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |
| 6 | 12 |
| 7 | 14 |
| 8 | 16 |
| 9 | 18 |
| 10 | 20 |
| 11 | 22 |
| 12 | 24 |

### Points for Plotting
The points to plot on the coordinate axes are:
- (1, 2)
- (2, 4)
- (3, 6)
- (4, 8)
- (5, 10)
- (6, 12)
- (7, 14)
- (8, 16)
- (9, 18)
- (10, 20)
- (11, 22)
- (12, 24)

### Plotting the Points
You can plot these points on a 2D coordinate system where the x-axis represents the number of lemons and the y-axis represents the number of cups of lemonade.

- The x-axis will range from 0 to at least 12.
- The y-axis should range from 0 to at least 24.

Each point corresponds to a specific number of lemons and the associated number of cups of lemonade. You can connect these points with a straight line as they form a linear relationship.