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The manager of a restaurant decides how many servers to schedule for a particular night based upon how many reservations were made for that night. $\newline$ $s =$ the number of servers scheduled to work $\newline$ $r =$ the number of reservations $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $r$ is the independent variable and $s$ is the dependent variable $\newline$ (B) $s$ is the independent variable and $r$ is the dependent variable

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Identify independent and dependent variables: word problems

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Q. The manager of a restaurant decides how many servers to schedule for a particular night based upon how many reservations were made for that night.

\newline

s =

the number of servers scheduled to work

\newline

r =

the number of reservations

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

r

is the independent variable and

s

is the dependent variable

\newline

(B)

s

is the independent variable and

r

is the dependent variable

Identify independent variable: Identify the independent variable. $\newline$ The independent variable is the one that can be set or controlled directly. In this context, the number of reservations $r$ is set by the customers and does not depend on how many servers are scheduled. Therefore, $r$ is the independent variable.
Identify dependent variable: Identify the dependent variable. $\newline$ The dependent variable is the one that depends on the independent variable. Since the manager decides the number of servers $s$ based on the number of reservations $r$ , $s$ is the dependent variable.
Choose correct option: Choose the correct option based on the identified variables. $\newline$ Since $r$ is the independent variable and $s$ is the dependent variable, the correct choice is: $\newline$ (A) $r$ is the independent variable and $s$ is the dependent variable.

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