Question
In the United States House of Representatives, the population of a state is used to calculate how many Representatives are from that state. \( p= \) the population of a state \( r= \) the number of Representatives Which of the variables is independent and which is dependent? \( r \) is the independent variable and \( p \) is the dependent variable \( p \) is the independent variable and \( r \) is the dependent variable
Ask by Goodwin Conner. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( p \) (population) is the independent variable, and \( r \) (number of Representatives) is the dependent variable.
Solution
In the context of determining the number of Representatives (\( r \)) based on the population (\( p \)) of a state:
- **Independent Variable (\( p \))**: This is the variable that you manipulate or that determines the outcome. In this case, the population of a state (\( p \)) is the input that influences the number of Representatives.
- **Dependent Variable (\( r \))**: This is the variable that depends on the independent variable. Here, the number of Representatives (\( r \)) depends on the population of the state.
**Therefore:**
\( p \) (population) is the **independent variable**, and \( r \) (number of Representatives) is the **dependent variable**.
**Correct Choice:**
- \( p \) is the independent variable and \( r \) is the dependent variable
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Simplify this solution The Deep Dive
In this scenario, \( p \) is the independent variable and \( r \) is the dependent variable. This is because the number of Representatives (\( r \)) depends on the population (\( p \)) of the state. As the population increases or decreases, it directly affects how many Representatives that state has. To visualize this better, think of it as a recipe: the population is your ingredient list (the amount of flour or sugar needed), while the number of Representatives is the final dish (like the number of cookies you can bake). More ingredients (population) mean more cookies (Representatives)!
