Write a rule that expresses the number of quarts q of a liquid as a function of each of the following

1/2 divided by 2/3=

Dividing is the same as multiplying by the reciprocal.

(1/2)/(2/3) = 1/2 * 3/2 = 3/4

To express the number of quarts (q) of a liquid as a function of certain variables, we need to identify the relationship between those variables and the number of quarts.

Here are examples of rules that express the number of quarts of a liquid as a function of different variables:

1. Rule: If the liquid is measured in gallons (g), the number of quarts is obtained by multiplying gallons by a conversion factor of 4.
Function: q = 4g

2. Rule: If the liquid is measured in liters (l), the number of quarts is obtained by multiplying liters by a conversion factor of 1.05668821 and then dividing by 1.05668821.
Function: q = (l * 1.05668821) / 1.05668821

3. Rule: If the liquid is measured in pints (p), the number of quarts is obtained by dividing pints by a conversion factor of 2.
Function: q = p / 2

4. Rule: If the liquid is measured in cups (c), the number of quarts can be obtained by dividing cups by a conversion factor of 4.
Function: q = c / 4

By utilizing these rules or functions, you can accurately express the number of quarts (q) of a liquid based on various measurement units.