Hunter brings reusable shopping bags from home whenever he goes to the store. The number of bags he brings is based on how many products are on his shopping list. $\newline$ $b$ = the number of bags Hunter brings to the store $\newline$ $p$ = the number of products on Hunter's shopping list $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $p$ is the independent variable and $b$ is the dependent variable $\newline$ (B) $b$ is the independent variable and $p$ is the dependent variable

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Algebra 1

Identify independent and dependent variables

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Q. Hunter brings reusable shopping bags from home whenever he goes to the store. The number of bags he brings is based on how many products are on his shopping list.

\newline

b

= the number of bags Hunter brings to the store

\newline

p

= the number of products on Hunter's shopping list

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

p

is the independent variable and

b

is the dependent variable

\newline

(B)

b

is the independent variable and

p

is the dependent variable

Determine Relationship: Determine the relationship between the two variables. Hunter decides how many bags to bring based on the number of products on his shopping list. This implies that the number of products $p$ will influence the number of bags $b$ he brings.
Identify Independent Variable: Identify the independent variable. The independent variable is the one that is not affected by the other variable. In this case, the number of products on the shopping list $p$ does not depend on the number of bags $b$ Hunter brings. Therefore, $p$ is the independent variable.
Identify Dependent Variable: Identify the dependent variable. The dependent variable is the one that is affected by the independent variable. Since the number of bags $b$ Hunter brings is based on the number of products $p$ , $b$ is the dependent variable.
Choose Correct Answer: Choose the correct answer choice based on the identification of independent and dependent variables. Since $p$ is the independent variable and $b$ is the dependent variable, the correct choice is (A) $p$ is the independent variable and $b$ is the dependent variable.