Identify independent and dependent variables and relationship type for a decreasing...
Check the final answer first, then review the worked steps.
Problem
Identify independent and dependent variables and relationship type for a decreasing cash card value.
Answer
The independent variable is the number of months after the first year. The dependent variable is the amount remaining on the card. The relationship is continuous.
Step-by-step solution
- Identify the independent variable: The independent variable is the one that is changed or controlled in an experiment or situation. In this case, the value on the card depends on how many months have passed. Therefore, the number of months after the first year is the independent variable. This is the value that changes, and we can observe its effect on the card's value.
- Identify the dependent variable: The dependent variable is the one that is measured or observed and is expected to change in response to the independent variable. The amount remaining on the card changes as time passes and the card is used (or decreases in value). Therefore, the amount remaining on the card is the dependent variable.
- Determine the relationship type: The problem states that the value on the card decreases by a fixed amount ($2.50) per month. This indicates a constant rate of change. A relationship with a constant rate of change is considered continuous. Therefore, the relationship between the number of months after the first year and the amount remaining on the card is continuous.