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.
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