Question

based on the table below, what is the relationship between cups and tablespoons?
volume
cups\ttablespoons
4\t64
5\t80
6\t96
7\t112
the number of cups is \\(\frac{1}{16}\\) of the number of tablespoons.
the number of cups is \\(\frac{1}{4}\\) of the number of tablespoons.
the number of cups is 4 times the number of tablespoons.
the number of cups is 16 times the number of tablespoons.

Explanation:

Step1: Analyze the first pair

Take the first row: 4 cups and 64 tablespoons. Calculate the ratio of cups to tablespoons: $\frac{4}{64}=\frac{1}{16}$.

Step2: Verify with other pairs

Check the second row: $\frac{5}{80}=\frac{1}{16}$. Third row: $\frac{6}{96}=\frac{1}{16}$. Fourth row: $\frac{7}{112}=\frac{1}{16}$. All ratios are $\frac{1}{16}$, so cups are $\frac{1}{16}$ of tablespoons.

Answer:

The number of cups is $\frac{1}{16}$ of the number of tablespoons. (The option stating "The number of cups is $\frac{1}{16}$ of the number of tablespoons.")