There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 48 tablespoons is equivalent to 3 cups, as shown in the graph.

A. What is the constant of proportionality for this relationship? (Type your answer as a fraction)

B. Write an equation representing this relationship. Use c for cups and t for tablespoons.

The constant of proportionality for the relationship between cups and tablespoons is 16 tablespoons/cup. An equation representing this relationship is t = 16c.

Explanation:

A. The constant of proportionality refers to the ratio between two quantities that are directly proportional. In this case, the constant equals the amount of tablespoons per cup. With 48 tablespoons equivalent to 3 cups, you need to divide the number of tablespoons by the number of cups to find the constant of proportionality. Therefore, it is 48/3 = 16 tablespoons/cup.

B. To write an equation representing this relationship, you can use the constant of proportionality you just found. Because there are 16 tablespoons in 1 cup, the equation would be t = 16c, where t represents tablespoons and c represents cups.

Learn more about Proportional Relationships here:

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josearmandosanquiz josearmandosanquiz · Answer 2 · 2024-10-13T00:05:26-04:00

josearmandosanquiz josearmandosanquiz

13-10-2024

answer: 48 divided by 3 is equal to 16, so is 16/1 . for the b question is (1)c x (16)t

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