The correct vocabulary word to describe the variable recorded when a gas station manager records "The number of gallons dispensed for each customer" is **Discrete**.
Here's why:
1. **Discrete** means separate or distinct. In this context, the number of gallons dispensed for each customer is counted in whole numbers (1 gallon, 2 gallons, 3 gallons, and so on). It is not a continuous range like fractions or decimals; instead, it consists of distinct, separate values.
2. **Qualitative** refers to qualities or characteristics rather than quantities, so it doesn't fit the scenario of counting the number of gallons dispensed.
3. **Quaternity** is a term that refers to a group of four individuals or things and is not relevant to describing the variable in this scenario.
4. **Continuous** would not be appropriate here because the variable, the number of gallons dispensed, is not measured in an unbroken sequence but rather in distinct, separate quantities for each customer.
Therefore, the correct term to describe the variable recorded in this scenario is **Discrete**.
