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In the United States House of Representatives, the population of a state is used to calculate how many Representatives are from that state. $\newline$ $p =$ the population of a state $\newline$ $r =$ the number of Representatives $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $p$ is the independent variable and $r$ is the dependent variable $\newline$ (B) $r$ is the independent variable and $p$ is the dependent variable

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Identify independent and dependent variables

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Q. In the United States House of Representatives, the population of a state is used to calculate how many Representatives are from that state.

\newline

p =

the population of a state

\newline

r =

the number of Representatives

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

p

is the independent variable and

r

is the dependent variable

\newline

(B)

r

is the independent variable and

p

is the dependent variable

Variable Relationship: In the context of the United States House of Representatives, the number of Representatives a state has is determined by its population. To understand which variable is independent and which is dependent, we need to consider which variable is being manipulated or controlled and which variable responds to that manipulation.
Population as Independent: The population of a state $p$ is not controlled by the number of Representatives $r$ . Instead, the number of Representatives is allocated based on the population. This means that the population is the independent variable because it exists independently of the number of Representatives a state has.
Number of Representatives as Dependent: The number of Representatives $r$ is dependent on the population $p$ because it changes in response to the population of the state. The more people a state has, the more Representatives it is likely to have. Therefore, $r$ is the dependent variable because it depends on the value of $p$ .

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