Final answer:
For Dan's earnings graph, the correct terms to describe the data are Domain and Independent Variable for the hours worked, and Range and Dependent Variable for the earnings.
Step-by-step explanation:
The graph depicting Dan's earnings against hours worked is common in representing linear relationships in mathematical economics and functions, often used in high school algebra and economics classes. When examining such a graph, one must understand the concepts of independent variable and dependent variable, as well as domain and range, to describe the data accurately. In the context of Dan's earnings:
- The independent variable is the number of hours worked because it is the quantity that Dan can control. It is typically plotted on the x-axis.
- The dependent variable is the earnings Dan receives because it depends on the number of hours he has worked. It is typically plotted on the y-axis.
- The domain is the set of all possible values of the independent variable, which in this case, would be all possible hours Dan could work.
- The range is the set of all possible values of the dependent variable, which would be all possible amounts Dan could earn.
Given the options provided in the question, the terms that can be used to describe Dan's earnings on the graph are Domain, Independent Variable and Range, Dependent Variable.