Answer :
To determine the relationship between the number of cups and tablespoons based on the given table, we can follow these steps:
1. Check the given values:
- 4 cups is equivalent to 64 tablespoons.
- 5 cups is equivalent to 80 tablespoons.
- 6 cups is equivalent to 96 tablespoons.
- 7 cups is equivalent to 112 tablespoons.
2. Observe the ratios:
We need to see how many tablespoons correspond to one cup. To do this, we can look at the ratio of tablespoons to cups for each entry in the table:
- For 4 cups and 64 tablespoons: [tex]\(\frac{64}{4} = 16\)[/tex]
- For 5 cups and 80 tablespoons: [tex]\(\frac{80}{5} = 16\)[/tex]
- For 6 cups and 96 tablespoons: [tex]\(\frac{96}{6} = 16\)[/tex]
- For 7 cups and 112 tablespoons: [tex]\(\frac{112}{7} = 16\)[/tex]
3. Determine the relationship:
From the calculations above, we observe that each cup corresponds to 16 tablespoons consistently across all entries in the table.
4. Conclusion:
The correct relationship between the number of cups and the number of tablespoons is:
[tex]\[
\text{The number of cups is } \frac{1}{16} \text{ of the number of tablespoons.}
\][/tex]
This means there are 16 tablespoons in one cup.
Therefore, the correct answer is:
[tex]\[
\text{The number of cups is } \frac{1}{16} \text{ of the number of tablespoons.}
\][/tex]
1. Check the given values:
- 4 cups is equivalent to 64 tablespoons.
- 5 cups is equivalent to 80 tablespoons.
- 6 cups is equivalent to 96 tablespoons.
- 7 cups is equivalent to 112 tablespoons.
2. Observe the ratios:
We need to see how many tablespoons correspond to one cup. To do this, we can look at the ratio of tablespoons to cups for each entry in the table:
- For 4 cups and 64 tablespoons: [tex]\(\frac{64}{4} = 16\)[/tex]
- For 5 cups and 80 tablespoons: [tex]\(\frac{80}{5} = 16\)[/tex]
- For 6 cups and 96 tablespoons: [tex]\(\frac{96}{6} = 16\)[/tex]
- For 7 cups and 112 tablespoons: [tex]\(\frac{112}{7} = 16\)[/tex]
3. Determine the relationship:
From the calculations above, we observe that each cup corresponds to 16 tablespoons consistently across all entries in the table.
4. Conclusion:
The correct relationship between the number of cups and the number of tablespoons is:
[tex]\[
\text{The number of cups is } \frac{1}{16} \text{ of the number of tablespoons.}
\][/tex]
This means there are 16 tablespoons in one cup.
Therefore, the correct answer is:
[tex]\[
\text{The number of cups is } \frac{1}{16} \text{ of the number of tablespoons.}
\][/tex]
