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

Zachary 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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The tabular values can be used to derive the formula relationship between x and P which gives the percentage commission of Zachary as 1%

How can the percentage commission be calculated?

From the above table, we have;

  • P = x × y% + b

Where;

y = The fixed percentage commission Zachary makes

b = Zachary's base pay

Therefore;

  • 105 = 3000 × y + b... (1)
  • 110 = 3500 × y + b... (2)
  • 125 = 5000 × y + b... (3)

Subtracting equation (1) from (2), gives;

110 - 105 = (3500 - 3000) × y + b - b = 0

5 = 500•y

y = 5/500 = 0.01 = 1%

  • The percentage Zachary makes on his daily sales is y = 1%

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