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Rosa works for a small company that sells books online and is responsible for mailing out the books to customers. Every morning she gets in line at the local post office and estimates the length of her wait. The length of her wait depends on the number of people in line ahead of her. $\newline$ $w$ = the length of time Rosa will need to wait $\newline$ $p$ = the number of people in line ahead of Rosa $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $p$ is the independent variable and $w$ is the dependent variable $\newline$ (B) $w$ is the independent variable and $p$ is the dependent variable

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Identify independent and dependent variables

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Q. Rosa works for a small company that sells books online and is responsible for mailing out the books to customers. Every morning she gets in line at the local post office and estimates the length of her wait. The length of her wait depends on the number of people in line ahead of her.

\newline

w

= the length of time Rosa will need to wait

\newline

p

= the number of people in line ahead of Rosa

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

p

is the independent variable and

w

is the dependent variable

\newline

(B)

w

is the independent variable and

p

is the dependent variable

Identify Variables: Identify the variables and their roles in the scenario: $\newline$ Rosa's waiting time $w$ depends on the number of people $p$ in line ahead of her. Therefore, $p$ is the variable that influences $w$ .
Define Variables: Define the independent and dependent variables: $\newline$ The independent variable is the one that influences the other variable without being affected by it. In this case, $p$ (the number of people in line) is the independent variable because it determines the length of Rosa's wait. The dependent variable is $w$ (waiting time), as it depends on $p$ .
Match Correct Choice: Match the correct choice based on the definitions: $\newline$ Since $p$ is the independent variable and $w$ is the dependent variable, the correct choice is (A) $p$ is the independent variable and $w$ is the dependent variable.

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