jaxon is a salesperson who sells computers at an electronics store. he makes a base pay amount each day and…

jaxon is a salesperson who sells computers at an electronics store. he makes a base pay amount each day and then is paid a commission for every computer sale he makes. let $p$ represent jaxons total pay on a day on which he sells $x$ computers. the table below has select values showing the linear relationship between $x$ and $p$. determine how much money jaxon would be paid on a day in which he sold 7 computers.\n| $x$ | $p$ |\n| 3 | 126.25 |\n| 6 | 182.50 |\n| 8 | 220.00 |\nanswer attempt 1 out of 2\n$

jaxon is a salesperson who sells computers at an electronics store. he makes a base pay amount each day and then is paid a commission for every computer sale he makes. let $p$ represent jaxons total pay on a day on which he sells $x$ computers. the table below has select values showing the linear relationship between $x$ and $p$. determine how much money jaxon would be paid on a day in which he sold 7 computers.\n| $x$ | $p$ |\n| 3 | 126.25 |\n| 6 | 182.50 |\n| 8 | 220.00 |\nanswer attempt 1 out of 2\n$

Answer

Explanation:

Step1: Find the slope

The slope $m$ of a line given two points $(x_1,P_1)$ and $(x_2,P_2)$ is $m=\frac{P_2 - P_1}{x_2 - x_1}$. Using the points $(3,126.25)$ and $(6,182.50)$, we have $m=\frac{182.50 - 126.25}{6 - 3}=\frac{56.25}{3}=18.75$.

Step2: Find the base - pay (y - intercept)

We use the point - slope form $P - P_1=m(x - x_1)$ and rewrite it in the slope - intercept form $P=mx + b$. Using the point $(3,126.25)$ and $m = 18.75$, we substitute into $P=mx + b$: $126.25=18.75\times3 + b$. Then $126.25 = 56.25 + b$, and $b=126.25−56.25 = 70$.

Step3: Calculate pay for 7 computers

The equation for the total pay is $P = 18.75x+70$. When $x = 7$, we substitute $x$ into the equation: $P=18.75\times7 + 70=131.25+70=201.25$.

Answer:

$201.25$