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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.

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 to class=

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MrRoyal

Answer:

[tex]m = 1.5\%[/tex]

Step-by-step 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:

[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,P_1) = (7000,165)[/tex]

[tex](x_2,P_2) = (7500,172.5)[/tex]

[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{172.5 - 165}{7500- 7000}[/tex]

[tex]m = \frac{7.5}{500}[/tex]

[tex]m = 0.015[/tex]

Convert to percentage

[tex]m = 0.015 * 100\%[/tex]

[tex]m = 1.5\%[/tex]

Hence, his percentage commission is 1.5%

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