Question

violet is a salesperson who sells computers at an electronics store. she is paid a $20 commission for every computer sale she makes and she also makes a guaranteed base pay of $100 each day. make a table of values and then write an equation for p, in terms of x, representing violets total pay on a day on which she sells x computers. number of computers sold violets daily pay in dollars 0 1 2 3

Explanation:

Table of Values Calculation:

For \( x = 0 \) (0 computers sold):

Violet only gets her base pay. So, \( P = 100 + 20(0) = 100 \).

For \( x = 1 \) (1 computer sold):

Base pay + commission for 1 computer. \( P = 100 + 20(1) = 120 \).

For \( x = 2 \) (2 computers sold):

Base pay + commission for 2 computers. \( P = 100 + 20(2) = 140 \).

For \( x = 3 \) (3 computers sold):

Base pay + commission for 3 computers. \( P = 100 + 20(3) = 160 \).

Equation for Total Pay:

Violet’s total pay \( P \) is the sum of her base pay (\$100) and the commission (\$20 per computer sold, \( x \)). So the equation is:
\( P = 100 + 20x \)

Filled Table:

Number of Computers Sold	Violet's Daily Pay in Dollars
1	120
2	140
3	160

Final Equation:

\( \boldsymbol{P = 100 + 20x} \)

Answer:

Table of Values Calculation:

For \( x = 0 \) (0 computers sold):

Violet only gets her base pay. So, \( P = 100 + 20(0) = 100 \).

For \( x = 1 \) (1 computer sold):

Base pay + commission for 1 computer. \( P = 100 + 20(1) = 120 \).

For \( x = 2 \) (2 computers sold):

Base pay + commission for 2 computers. \( P = 100 + 20(2) = 140 \).

For \( x = 3 \) (3 computers sold):

Base pay + commission for 3 computers. \( P = 100 + 20(3) = 160 \).

Equation for Total Pay:

Violet’s total pay \( P \) is the sum of her base pay (\$100) and the commission (\$20 per computer sold, \( x \)). So the equation is:
\( P = 100 + 20x \)

Filled Table:

Number of Computers Sold	Violet's Daily Pay in Dollars
1	120
2	140
3	160

Final Equation:

\( \boldsymbol{P = 100 + 20x} \)