Solved on Feb 02, 2024
Determine the dependent and independent variables in the population function .
STEP 1
Assumptions
1. The function represents a relationship between the population in millions and age in years.
2. The population is denoted by .
3. The age is denoted by .
4. The population depends on the age.
STEP 2
Identify the dependent and independent variables.
In a function, the dependent variable is the one that depends on the value of another variable, which is known as the independent variable. The standard form of a function is , where is the dependent variable and is the independent variable.
STEP 3
Apply this understanding to the given function .
Here, represents the population and is written as a function of , which represents age. This means that the population depends on the age.
STEP 4
Conclude which variable is dependent and which is independent.
Since the population depends on the age , is the dependent variable and is the independent variable.
The dependent variable is and the independent variable is .
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