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

Volume
Cups
Tablespoons
4
64
5
80
6
96
7
112
The number of cups is StartFraction 1 Over 16 EndFraction of the number of tablespoons.
The number of cups is One-fourth 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.

1 answer

To determine the relationship between cups and tablespoons based on the data provided, we can analyze the values in the table:

  • For 4 cups, there are 64 tablespoons.
  • For 5 cups, there are 80 tablespoons.
  • For 6 cups, there are 96 tablespoons.
  • For 7 cups, there are 112 tablespoons.

Now, let’s establish a direct relationship.

1 cup corresponds to 16 tablespoons because:

  • 64 tablespoons / 4 cups = 16 tablespoons per cup
  • 80 tablespoons / 5 cups = 16 tablespoons per cup
  • 96 tablespoons / 6 cups = 16 tablespoons per cup
  • 112 tablespoons / 7 cups = 16 tablespoons per cup

This means that for every 1 cup, there are 16 tablespoons, or alternatively stated, the number of tablespoons is 16 times the number of cups.

Thus, the correct relationship is:

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