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Lillian, a florist, is assembling bouquets of roses to sell at her flower shop. The number of bouquets she can assemble depends on how many roses are in her shop. $\newline$ $b$ = the number of bouquets Lillian can assemble $\newline$ $r$ = the number of roses in the flower shop $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $r$ is the independent variable and $b$ is the dependent variable $\newline$ (B) $b$ is the independent variable and $r$ is the dependent variable

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Identify independent and dependent variables

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Q. Lillian, a florist, is assembling bouquets of roses to sell at her flower shop. The number of bouquets she can assemble depends on how many roses are in her shop.

\newline

b

= the number of bouquets Lillian can assemble

\newline

r

= the number of roses in the flower shop

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

r

is the independent variable and

b

is the dependent variable

\newline

(B)

b

is the independent variable and

r

is the dependent variable

Define Independent and Dependent Variables: In any function, the independent variable is the one that can be freely changed without being affected by other variables, while the dependent variable is the one that depends on the value of the independent variable.
Identify Relationship between Bouquets and Roses: In the context of the problem, Lillian can only assemble as many bouquets as the number of roses allows. This means that the number of bouquets $b$ depends on the number of roses $r$ she has.
Determine Independent and Dependent Variables: Therefore, the number of roses in the flower shop $r$ is the independent variable because it can vary independently. The number of bouquets Lillian can assemble $b$ is the dependent variable because it is determined by the number of roses available.

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