Question

Tristan 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
P represent Tristan's total pay on a day on which he sells
x
x dollars worth of computers. The table below has select values showing the linear relationship between
x
x and
P
.
P. Determine the percentage commission Tristan makes on his daily sales.

Answer 1

`m = 1.5\%`

Explanation:

Given

The attached table

Required

Determine his percentage commission

To do this, we need to calculate the slope (m) of the table as follows:

`m = (P_2 - P_1)/(x_2 - x_1)`

Where

`(x_1,P_1) = (7000,165)`

`(x_2,P_2) = (7500,172.5)`

`m = (P_2 - P_1)/(x_2 - x_1)` becomes

`m = (172.5 - 165)/(7500- 7000)`

`m = (7.5)/(500)`

`m = 0.015`

Convert to percentage

`m = 0.015 * 100\%`

`m = 1.5\%`

Hence, his percentage commission is 1.5%