On a Sunday morning, Tom sold 300 cups of coffee for a total of $750.

a.

The $750 is a real variable. The 300 cups of coffee is a nominal variable.
b.

The $750 is a nominal variable. The 300 cups of coffee is a real variable.
c.

Both the $750 and the 300 cups of coffee are nominal variables.
d.

Both the $750 and the 300 cups of coffee are real variables.

1 answer

To determine whether the variables are nominal or real, let's define the terms:

  • Real variables are quantifiable measures that have a consistent meaning in terms of measurement (e.g., quantity of items, distance, weight, etc.).
  • Nominal variables are used for labeling or categorization without a quantitative value (e.g., names, categories, or classifications).

In this case:

  • The $750 represents a specific monetary value for the coffee sold and is therefore a real variable.
  • The 300 cups of coffee quantifies the actual number of cups sold and is also a real variable.

Based on this analysis, the correct answer is:

d. Both the $750 and the 300 cups of coffee are real variables.