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]$\frac{4}{4}$[/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 :

The correct answer is option A

The number of cups is 1/16 of the number of tablespoons.

We can observe that as the number of cups increases, the number of tablespoons also increases.

To find the exact relationship, we can divide the number of tablespoons by the corresponding number of cups for each row:

For the first row: 64 tablespoons / 4 cups = 16

For the second row: 80 tablespoons / 5 cups = 16

For the third row: 96 tablespoons / 6 cups = 16

For the fourth row: 112 tablespoons / 7 cups = 16

We can see that in each case, the number of tablespoons is 16 times the number of cups.