In a statistics class, let $w$ represent the amount of water (in liters) a person drinks in one day. Determine whether the random variable $w$ is discrete or continuous. Explain your answer.

Continuous; because the amount can take any real value within a range

Discrete; because the variable is based on counting bottles of water

Discrete; because it is based on a fixed daily amount

Discrete; because liters of water is measured in whole numbers only