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Sebastian is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Sebastian will purchase. $\newline$ $y =$ Sebastian's grandmother's age, in years $\newline$ $b =$ how many boxes of candles Sebastian will purchase $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $y$ is the independent variable and $b$ is the dependent variable $\newline$ (B) $b$ is the independent variable and $y$ is the dependent variable

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Identify independent and dependent variables

Full solution

Q. Sebastian is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Sebastian will purchase.

\newline

y =

Sebastian's grandmother's age, in years

\newline

b =

how many boxes of candles Sebastian will purchase

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

y

is the independent variable and

b

is the dependent variable

\newline

(B)

b

is the independent variable and

y

is the dependent variable

Understand Relationship: To determine which variable is independent and which is dependent, we need to understand the relationship between the two variables. The independent variable is the one that is chosen freely or controlled by the experimenter, while the dependent variable is the one that depends on the independent variable.
Identify Variables: In this context, Sebastian's grandmother's age $y$ is not controlled by Sebastian when buying candles; it is a given fact. The number of boxes of candles $b$ that Sebastian will purchase depends on his grandmother's age. Therefore, $y$ is the independent variable because it is the cause, and $b$ is the dependent variable because it is the effect.
Answer Question: Based on the relationship between the two variables, we can now answer the question. The correct choice is: $\newline$ (A) $y$ is the independent variable and $b$ is the dependent variable.

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