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------------------------------------------------ There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. Three cups are equivalent to 48 tablespoons, as plotted in the graph. Write an equation representing this relationship. Use $ c $ for cups and $ t $ for tablespoons.

In this proportional relationship between volume measured in cups (c) and the same volume measured in tablespoons (t), you can write an equation using the information provided:

3 cups is equivalent to 48 tablespoons.

This relationship can be expressed as:

c = (48/3) * t

Simplify the equation:

c = 16t

So, the equation representing this proportional relationship is: c = 16t

This equation tells you that the number of cups (c) is equal to 16 times the number of tablespoons (t).

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kesarineha07 kesarineha07 · Answer 2 · 2024-01-02T07:31:26-05:00

Final answer:

The equation representing the proportional relationship between cups and tablespoons is c = (1/16)t.

Explanation:

We are given that there is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. We can represent this relationship using the equation c = kt, where c is the number of cups, t is the number of tablespoons, and k is the constant of proportionality.

Since 3 cups is equivalent to 48 tablespoons, we can substitute these values into the equation to find the value of k. 3 = k * 48.

Dividing both sides of the equation by 48, we get k = 3/48. Simplifying, we find that k = 1/16.

Therefore, the equation representing the proportional relationship between cups and tablespoons is c = (1/16)t.

Learn more about proportional relationship here:

https://brainly.com/question/29765554

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