Question

Carson is a salesperson who sells computers at an electronics store. He makes a base

pay amount each day and then is paid a commission as a percentage of the total
dollar amount the company makes from his sales that day. Let P represent Carson's
total pay on a day on which he sells a dollars worth of computers. The table below
has select values showing the linear relationship between x and P. Determine how
many dollars worth of computers Carson would have to sell in order to get paid $140
on a given day.
P
2500 127.5
4000 165
5500 202.5
x

Answer 1

P = 0.015x + 60

Since Carson's base pay is $60, he would earn $60 even for selling $0 worth of computers, meaning P= 60 when x=0, which is the y-intercept.

(0,60) is a point on the graph

Since Carson makes a commission of 1.5% for all sales, the amount of money earned in a given day increases $0.015 for each $1 of sales made (multiply 1 by 0.015). This means the slope of P is equal to 0.015.

Explanation: