I study is being conducted on the amount of gasoline purchased on an average day in town. A random variable is used to identify the amount and gallons. Is the variable in this study discrete or continuous why

The variable in this study is continuous.

A continuous variable can take on any value within a given range, while a discrete variable can only take on specific, separate values. In this case, the amount of gasoline purchased can be any decimal value within a range (e.g., 2.5 gallons, 3.67 gallons, etc.), meaning it is a continuous variable.