Question

A recipe book shows measurement conversions for pints to cups. It shows that 1.5 pints equals 3 cups and 2.5 pints equals 5 cups.

Write an equation that shows the proportional relationship between pints and cups where p represents pints and n represents cups.

1. The proportion is the direct variation of a variable with another the equation which shows the proportional relationship is n = 2p.

### What are the ratio and proportion?

The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Lets’ suppose the pints (p) are directly proportional to cups(n).
p ∝ n
Removing proportion.
p = kn
Given that,
1.5 pints equals 3 cups
1.5 = k(3)
k = 1.5/3 = 1/2
So, p = (1/2)n
n = 2p
Hence “The proportion is the direct variation of a variable with another the equation which shows the proportional relationship is n = 2p”.