Question

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.

Answer 1

`C=(2)/(15)x`

Step-by-step explanation

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

The general form of a proportional relationship is:

`y=kx`

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:

`\begin{gathered} 16=k\cdot120 \\ \Rightarrow k=(16)/(120) \\ k=(2)/(15) \end{gathered}`

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

`C=(2)/(15)x`