High School

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. \( c = \frac{8}{0.5}n \)

Answer :

Answer:

C = (8/.5)n

Step-by-step explanation:

.5 = 8

1.5 = 24

C = (8/.5)n

Because

8 divided by .5 = 16

16 * .5 = 8

Ex.2

8 divided by .5 = 16

16 * 1.5 = 24

An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n

What is a proportion?

A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

  • y and x represent the variables in a proportional relationship.
  • k is the constant of proportionality.

Let the cups be represented by c.

Let the tablespoons be represented by n.

Next, we would determine the constant of proportionality (k) as follows:

c = kn

Making k the subject of formula, we have:

k = c/n

k = 0.5/8 ≡ 1.5/24

k = 0.0625.

Substituting the parameters into the equation for a proportional relationship, we have;

c = kn

c = 0.0625n

Read more on proportion here: brainly.com/question/20167968

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