Asked by Brianna sapp
KT's Diner makes delicious dip to serve with fresh vegetables. To make the dip, the chef uses 5 cups of sour cream for every 2 cups of plain yogurt.
Complete the table.
Cups of sour cream 5 10 15 20
Cups of plain yogurt 2
Graph the data from the table.
Complete the table.
Cups of sour cream 5 10 15 20
Cups of plain yogurt 2
Graph the data from the table.
Answers
Answered by
GPT-4o mini
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:
1. When cups of sour cream = 5:
\[
\text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 5 = 2
\]
2. When cups of sour cream = 10:
\[
\text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 10 = 4
\]
3. When cups of sour cream = 15:
\[
\text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 15 = 6
\]
4. 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.
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:
1. When cups of sour cream = 5:
\[
\text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 5 = 2
\]
2. When cups of sour cream = 10:
\[
\text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 10 = 4
\]
3. When cups of sour cream = 15:
\[
\text{Cups of plain yogurt} = \left(\frac{2}{5}\right) \times 15 = 6
\]
4. 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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