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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 equal 24 tablespoons. Write an equation that shows the proportional relationship between cups and tablespoons where [tex]c[/tex] represents cups and [tex]n[/tex] represents tablespoons.

A. [tex]n = 0.0625c[/tex]
B. [tex]c = 0.0625n[/tex]
C. [tex]n = \frac{0.5}{8}c[/tex]
D. [tex]c = \frac{8}{0.5}n[/tex]

Answer :

We need to know about ratio and proportion to solve this problem. The equation that shows the relationship between cups and tablespoons is c=0.0625n.

Ratio is a fraction of two quantities, a ratio tells us how much of one quantity is contained in another. In this question we know that the number of cups can be expressed as number of tablespoons. We need to find an equation that will show the relationship betweeb cups and tablespoons. We need to find the ratio of cups to tablespoons to find the equation. We know that 0.5 cups equal to 8 tablespoons, c represents cups and n represents tablespoons.

c/n =0.5/8=0.0625

c=0.0625 n

Therefore the equation that represents the relationship between cups and tablespoons is c=0.0625n .

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Answer: n = 0.0625c

Step-by-step explanation: you are doing basic math.

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