High School

Write an equation representing the relationship where 48 tablespoons of sugar is equivalent to 3 cups of sugar, using [tex]c[/tex] for cups and [tex]t[/tex] for tablespoons.

Answer :

The relationship between cups and tablespoons for sugar is expressed by the equation t = 16c, where t represents tablespoons and c represents cups. This is derived from the information that 48 tablespoons is equal to 3 cups of sugar.

The question is asking to write an equation that represents the relationship between cups and tablespoons when measuring sugar. Given that 48 tablespoons is equivalent to 3 cups of sugar, we can express this relationship by setting up a proportionality equation where c represents cups and t represents tablespoons. To set up the equation, use the ratio 48 tablespoons to 3 cups, which simplifies to 16 tablespoons to 1 cup:
1 cup = 16 tablespoons
If we let c be the number of cups and t be the number of tablespoons, the equation can be written as:
t = 16c This equation can be used to convert between tablespoons and cups for sugar.