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Natalie is taking a standardized test. Her final test score will depend on the number of questions she answers correctly. $\newline$ $s =$ Natalie's final test score $\newline$ $q =$ the number of questions Natalie answers correctly $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $s$ is the independent variable and $q$ is the dependent variable $\newline$ (B) $q$ is the independent variable and $s$ is the dependent variable

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Identify independent and dependent variables

Full solution

Q. Natalie is taking a standardized test. Her final test score will depend on the number of questions she answers correctly.

\newline

s =

Natalie's final test score

\newline

q =

the number of questions Natalie answers correctly

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

s

is the independent variable and

q

is the dependent variable

\newline

(B)

q

is the independent variable and

s

is the dependent variable

Identify Variables: In this problem, we need to determine which variable is independent and which is dependent. The independent variable is the one that is changed or controlled in a scientific experiment to test the effects on the dependent variable. The dependent variable is the variable being tested and measured in an experiment. In the context of Natalie's test score, we need to identify which variable influences the other.
Define Independent and Dependent: Natalie's final test score $s$ is determined by the number of questions she answers correctly $q$ . This means that her score depends on how many questions she gets right. Therefore, the number of correct answers is the variable that is manipulated or changed, and the test score is the variable that changes in response to the number of correct answers.
Relationship between Variables: Since the test score $s$ depends on the number of questions answered correctly $q$ , the number of correct answers is the independent variable, and the test score is the dependent variable. This means that as Natalie answers more questions correctly, her score will change accordingly.
Conclusion: Based on the reasoning above, we can conclude that the correct choice is (B) $q$ is the independent variable and $s$ is the dependent variable.

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