High School

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

Write an equation that shows the proportional relationship between cups and tablespoons where \( c \) represents cups and \( n \) represents tablespoons.

Answer :

Final answer:

The equation that shows the proportional relationship between cups and tablespoons is c = 0.5n.

Explanation:

Let c represent the cups and n represent the tablespoons. From the given information, we know that 8 tablespoons is equal to 0.5 cups and 24 tablespoons is equal to 1.5 cups.

From the proportional relationship, we can write the equation:

c/n = 0.5/8 = 1.5/24

To simplify the equation, we can multiply both sides by 8 to cancel out the n:

c = (0.5/8) * 8 = 0.5 cups

So, the equation that shows the proportional relationship between cups and tablespoons is:

c = 0.5n

Other Questions