The commission Leah earns is proportional to the amount of shirts she sells. She earns $16 of commission for every $120 of shirts she sells. Which equation gives the total commission, C. Leah will earn based on the cost, x of the amount of shirts she sells.

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ANSWER

[tex]C=\frac{2}{15}x[/tex]

EXPLANATION

The commission that Leah earns is proportional to the amount of shirts that she sells.

The general form of a proportional relationship is:

[tex]y=kx[/tex]

where k = constant of proportioality

Let the amount of commission she earns be C.

Let the amount of shirt she sells be x.

She earns $16 for every $120 of shirts that she sells. This means that:

[tex]\begin{gathered} 16=k\cdot120 \\ \Rightarrow k=\frac{16}{120} \\ k=\frac{2}{15} \end{gathered}[/tex]

Therefore, we have that the equation that gives the total commission C is:

[tex]C=\frac{2}{15}x[/tex]