Question

Sales associates at an electronics store earn different commission percentages based on the items they sell. The table shows the total sales and commission earnings for four sales associates at the electronics store last month

Answer 1

We have 4 entries, but we just need 2 to plot the relation lets pick the first two, we would be using the equation of a line in the two-point form

`\begin{gathered} \frac{c_{}-c_1}{d_{}-d_1}=(c_2-c_1)/(d_2-d_1) \\ \end{gathered}`

We, put in the points, ( 673,22) and (3277,101), we get

`(c-22)/(d-673)=(101-22)/(3277-673)=(79)/(2604)=0.03`
`\begin{gathered} (c-22)/(d-673)=0.03 \\ c-22=0.03(d-673) \\ c-22=\text{ 0.03(d-673)} \\ c-22=0.03d-20.19 \\ c=0.03d+1.81 \end{gathered}`

Lets try the third point with this relation d=5180

c=0.03(5180) +1.81 = 157.21. This is a close estimate to the actual value $150