To complete the table and establish a relationship between the cups of sour cream and cups of plain yogurt, we can set up a ratio based on the relationship given: for every 5 cups of sour cream, there are 2 cups of plain yogurt.
We can find the proportion for the other amounts of sour cream:
\[ \text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times \text{Cups of sour cream} \]
Let's complete the table accordingly:
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When cups of sour cream = 5: \[ \text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 5 = 2 \]
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When cups of sour cream = 10: \[ \text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 10 = 4 \]
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When cups of sour cream = 15: \[ \text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 15 = 6 \]
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When cups of sour cream = 20: \[ \text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 20 = 8 \]
Now we can fill in the completed table:
| Cups of sour cream | Cups of plain yogurt | |--------------------|---------------------| | 5 | 2 | | 10 | 4 | | 15 | 6 | | 20 | 8 |
Graphing the Data
To graph this data, you would typically plot the results on an XY coordinate system, where:
- The X-axis represents the cups of sour cream.
- The Y-axis represents the cups of plain yogurt.
Plot the following points based on the completed table:
- (5, 2)
- (10, 4)
- (15, 6)
- (20, 8)
Once these points are plotted, you can connect them with a straight line, as the relationship is linear. You'll see that as the cups of sour cream increase, the cups of plain yogurt also increase in a consistent ratio.
If you're using graphing software or drawing by hand, ensure your axes are labeled accordingly, and you can include a title for clarity.
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