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------------------------------------------------ A recipe book shows measurement conversions for cups to tablespoons. It shows that 0.5 cup equals 8 tablespoons and 1.5 cups equals 24 tablespoons.

Write an equation that shows the proportional relationship between cups and tablespoons, where $ c $ represents cups and $ n $ represents tablespoons.

A. $ n = 0.0625c $

B. $ c = 0.0625n $

C. $ n = \frac{0.5}{8}c $

D. $ c = \frac{8}{0.5}n $

Therefore, the equation that shows the proportional relationship between cups and tablespoons where c represents cups and n represents tablespoons is as follows:

0.5 = 8k

divide both sides by 0.5

k = 0.5 / 8

Therefore, the proportional relationship is c = 0.0625 n

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JohnRogerStephens JohnRogerStephens · Answer 2 · 2024-05-18T05:38:26-04:00

Final answer:

The question is about writing an equation to represent the proportional relationship between cups and tablespoons. Given that there are 16 tablespoons in each cup, the correct equation would be 'n = 16c' or 'c = n/16'.

Explanation:

The question pertains to the proportional relationship between cups and tablespoons. Given that 0.5 cup equals 8 tablespoons and 1.5 cups equals 24 tablespoons, we see that there are 16 tablespoons in each cup. Thus, we can write an equation to represent this relationship. Since 'n' represents tablespoons and 'c' represents cups, the correct equation for this problem should be: n = 16c or alternatively c = n/16. This states that the number of tablespoons is 16 times the number of cups or conversely, the number of cups is the number of tablespoons divided by 16.

Learn more about Proportional Relationships here:

https://brainly.com/question/34138295

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