High School

Based on the table below, what is the relationship between cups and tablespoons?

[tex]
\[
\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{Volume} \\
\hline
Cups & Tablespoons \\
\hline
4 & 64 \\
\hline
5 & 80 \\
\hline
6 & 96 \\
\hline
7 & 112 \\
\hline
\end{tabular}
\]
[/tex]

A. The number of cups is [tex]$\frac{1}{16}$[/tex] of the number of tablespoons.

B. The number of cups is [tex]$\frac{1}{4}$[/tex] of the number of tablespoons.

C. The number of cups is 4 times the number of tablespoons.

D. The number of cups is 16 times the number of tablespoons.

Answer :

To find the relationship between cups and tablespoons based on the provided table, let's look at the values:

1. The table shows:
- 4 cups correspond to 64 tablespoons
- 5 cups correspond to 80 tablespoons
- 6 cups correspond to 96 tablespoons
- 7 cups correspond to 112 tablespoons

2. To determine the relationship, divide the number of tablespoons by the number of cups for each pair:
- [tex]\( \frac{64 \text{ tablespoons}}{4 \text{ cups}} = 16 \)[/tex]
- [tex]\( \frac{80 \text{ tablespoons}}{5 \text{ cups}} = 16 \)[/tex]
- [tex]\( \frac{96 \text{ tablespoons}}{6 \text{ cups}} = 16 \)[/tex]
- [tex]\( \frac{112 \text{ tablespoons}}{7 \text{ cups}} = 16 \)[/tex]

3. In each case, the number of tablespoons is 16 times the number of cups. Therefore, you can conclude:

The number of tablespoons is 16 times the number of cups. This means if you take the number of cups and multiply it by 16, you get the equivalent number of tablespoons. So, the correct option is that the number of cups is [tex]\( \frac{1}{16} \)[/tex] of the number of tablespoons.