Lacey works as a server at the Butler Restaurant. The amount of money she earns during a shift depends on the number of tables she serves. m = the amount of money Lacey earns t = the number of tables Lacey serves Which of the variables is independent and which is dependent? Choices: (A)m is the independent variable and t is the dependent variable (B)t is the independent variable and m is the dependent variable

Identify Variables: In any function, the independent variable is the one that can be freely changed, and the dependent variable is the one that depends on the value of the independent variable. In the context of Lacey's job as a server, we need to determine which variable causes a change in the other.Define Independent Variable: The number of tables Lacey serves (t) is something that can vary based on the day, the number of customers, and other factors. Lacey does not earn money unless she serves tables, so the amount of money she earns (m) depends on the number of tables she serves.Define Dependent Variable: Therefore, the number of tables served (t) is the independent variable because it can change independently of how much money Lacey earns. Conversely, the amount of money Lacey earns (m) is the dependent variable because it depends on the number of tables she serves.

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Lacey works as a server at the Butler Restaurant. The amount of money she earns during a shift depends on the number of tables she serves. $\newline$ $m =$ the amount of money Lacey earns $\newline$ $t =$ the number of tables Lacey serves $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $m$ is the independent variable and $t$ is the dependent variable $\newline$ (B) $t$ is the independent variable and $m$ is the dependent variable

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Math Problems

Grade 7

Identify independent and dependent variables

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Q. Lacey works as a server at the Butler Restaurant. The amount of money she earns during a shift depends on the number of tables she serves.

\newline

m =

the amount of money Lacey earns

\newline

t =

the number of tables Lacey serves

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

m

is the independent variable and

t

is the dependent variable

\newline

(B)

t

is the independent variable and

m

is the dependent variable

Identify Variables: In any function, the independent variable is the one that can be freely changed, and the dependent variable is the one that depends on the value of the independent variable. In the context of Lacey's job as a server, we need to determine which variable causes a change in the other.
Define Independent Variable: The number of tables Lacey serves ( $t$ ) is something that can vary based on the day, the number of customers, and other factors. Lacey does not earn money unless she serves tables, so the amount of money she earns ( $m$ ) depends on the number of tables she serves.
Define Dependent Variable: Therefore, the number of tables served $t$ is the independent variable because it can change independently of how much money Lacey earns. Conversely, the amount of money Lacey earns $m$ is the dependent variable because it depends on the number of tables she serves.