High School

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.

Answer :

The equation representing this proportional relationship is: c = 16t

Expressing proportionality

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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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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