there is a proportional relationship between the number of quarts and number of gallons for liquid…

Explanation:

Step1: Recall the conversion factor

We know that 1 gallon is equal to 4 quarts. So the relationship between gallons (let's denote as ( g )) and quarts (let's denote as ( q )) is ( g=\frac{1}{4}q ) (since to get gallons from quarts, we divide the number of quarts by 4).

Step2: Identify the constant of proportionality

In a proportional relationship ( y = kx ), ( k ) is the constant of proportionality. Here, when relating gallons (( y )) to quarts (( x )), the equation is ( g=\frac{1}{4}q ), so the constant of proportionality ( k ) is ( \frac{1}{4} ) or 0.25.

Answer:

(\frac{1}{4}) (or 0.25)