Question

there is a proportional relationship between the number of quarts and number of gallons for liquid measurements. what constant of proportionality relates gallons to quarts?

Explanation:

Step1: Recall the conversion factor

We know that 1 gallon is equal to 4 quarts. So, if we let \( g \) be the number of gallons and \( q \) be the number of quarts, the proportional relationship is \( q = k \times g \), where \( k \) is the constant of proportionality.

Step2: Determine the constant

Since 1 gallon (\( g = 1 \)) corresponds to 4 quarts (\( q = 4 \)), substituting into \( q = k \times g \), we get \( 4 = k \times 1 \), so \( k = 4 \).

Answer:

4