Question

ai mi is a salesperson who sells computers at an electronics store. she makes a base pay amount each day and then is paid a commission for every computer sale she makes. let $p$ represent ai mis total pay on a day on which she sells $x$ computers. the table below has select values showing the linear relationship between $x$ and $p$. determine the commission ai mi makes for each computer sale.

$x$	$p$
6	165
8	195

Explanation:

Step1: Recall slope - formula for linear relationship

The linear relationship between $x$ (number of computers sold) and $P$ (total pay) is of the form $P = mx + b$, where $m$ is the slope (commission per computer) and $b$ is the base - pay. The slope formula is $m=\frac{\Delta P}{\Delta x}=\frac{P_2 - P_1}{x_2 - x_1}$.

Step2: Select two points from the table

Let's take the points $(x_1,P_1)=(2,105)$ and $(x_2,P_2)=(6,165)$.

Step3: Calculate the slope

$m=\frac{165 - 105}{6 - 2}=\frac{60}{4}=15$.
We can also check with another pair of points. Let $(x_1,P_1)=(6,165)$ and $(x_2,P_2)=(8,195)$. Then $m=\frac{195 - 165}{8 - 6}=\frac{30}{2}=15$.

Answer:

15