Mr. Moreno has several grandchildren, some of whom have outgrown their winter coats. He will be buying new coats for those who outgrew their old ones. $\newline$ $n =$ the number of new coats Mr. Moreno will purchase $\newline$ $o =$ the number of grandchildren who have outgrown their coats $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $o$ is the independent variable and $n$ is the dependent variable $\newline$ (B) $n$ is the independent variable and $o$ is the dependent variable

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Algebra 1

Identify independent and dependent variables

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Q. Mr. Moreno has several grandchildren, some of whom have outgrown their winter coats. He will be buying new coats for those who outgrew their old ones.

\newline

n =

the number of new coats Mr. Moreno will purchase

\newline

o =

the number of grandchildren who have outgrown their coats

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

o

is the independent variable and

n

is the dependent variable

\newline

(B)

n

is the independent variable and

o

is the dependent variable

Understand Relationship: Understand the relationship between the variables. Mr. Moreno is buying new coats for his grandchildren who have outgrown their old ones. The number of new coats he will purchase $n$ depends on the number of grandchildren who have outgrown their coats $o$ . Therefore, the number of grandchildren who outgrew their coats is the cause, and the number of new coats is the effect.
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 grandchildren who have outgrown their coats $o$ does not depend on how many new coats are purchased. So, $o$ is the independent variable.
Identify Dependent Variable: Identify the dependent variable. The dependent variable is the one that depends on the independent variable. Since the number of new coats Mr. Moreno will purchase $n$ depends on the number of grandchildren who have outgrown their coats $o$ , $n$ is the dependent variable.
Choose Correct Answer: Choose the correct answer choice based on the identification of independent and dependent variables. Since $o$ is the independent variable and $n$ is the dependent variable, the correct choice is (A) $o$ is the independent variable and $n$ is the dependent variable.