Question

xochitl is a salesperson who sells computers at an electronics store. she is paid a $3.75 commission for every computer sale she makes and she also makes a guaranteed base pay of $50 each day. make a table of values and then write an equation for p, in terms of x, representing xochitl’s total pay on a day on which she sells x computers.

number of computers sold	xochitl’s daily pay in dollars
1
2
3

Explanation:

Step1: Calculate pay when \( x = 0 \)

When no computers are sold (\( x = 0 \)), she only gets the base pay. So pay \( P = 50 + 3.75\times0 = 50 \).

Step2: Calculate pay when \( x = 1 \)

For 1 computer sold, pay is base pay plus commission for 1 computer. \( P = 50 + 3.75\times1 = 50 + 3.75 = 53.75 \).

Step3: Calculate pay when \( x = 2 \)

For 2 computers sold, \( P = 50 + 3.75\times2 = 50 + 7.5 = 57.5 \).

Step4: Calculate pay when \( x = 3 \)

For 3 computers sold, \( P = 50 + 3.75\times3 = 50 + 11.25 = 61.25 \).

Step5: Write the equation

Total pay \( P \) is base pay plus commission per computer times number of computers sold. So \( P = 50 + 3.75x \).

First, filling the table:

Number of Computers Sold	Xochitl's Daily Pay in Dollars
1	53.75
2	57.5
3	61.25

Answer:

The table values are 50, 53.75, 57.5, 61.25 for \( x = 0,1,2,3 \) respectively. The equation is \( P = 50 + 3.75x \).