Clarence is making goodie bags for his child's birthday party, and he is buying bottles of bubbles for the bags. The quantity of bubbles Clarence purchases will be determined by how many guests attend the party. $\newline$ $b =$ the number of bottles of bubbles Clarence purchases $\newline$ $g =$ the number of guests $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $g$ is the independent variable and $b$ is the dependent variable $\newline$ (B) $b$ is the independent variable and $g$ is the dependent variable

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Grade 8

Identify independent and dependent variables

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Q. Clarence is making goodie bags for his child's birthday party, and he is buying bottles of bubbles for the bags. The quantity of bubbles Clarence purchases will be determined by how many guests attend the party.

\newline

b =

the number of bottles of bubbles Clarence purchases

\newline

g =

the number of guests

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

g

is the independent variable and

b

is the dependent variable

\newline

(B)

b

is the independent variable and

g

is the dependent variable

Define Variables: In any function or relationship between two variables, the independent variable is the one that is chosen or controlled by the experimenter or in this case, the host of the party. The dependent variable is the one that depends on the value of the independent variable. In the context of Clarence's party, we need to determine which variable is chosen or controlled without the influence of the other variable.
Identify Relationship: Clarence is making goodie bags for his child's birthday party. The number of guests $g$ attending the party will determine how many bottles of bubbles $b$ Clarence will buy. This means that the number of bottles of bubbles depends on the number of guests. Therefore, the number of guests is the independent variable because it is not influenced by the number of bottles. On the other hand, the number of bottles is the dependent variable because it relies on the number of guests.
Determine Independent Variable: Since the number of guests determines the number of bottles of bubbles Clarence needs, we can conclude that the number of guests $g$ is the independent variable and the number of bottles of bubbles $b$ is the dependent variable. Therefore, the correct choice is $(A)$ $g$ is the independent variable and $b$ is the dependent variable.