Question

Madeline is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Make a table of values and then write an equation for P, commaP, in terms of x, commax, representing Madeline's total pay on a day on which she sells xx computers.
Number of Computers Sold Madeline's Daily Pay in Dollars
0
1
2
3

Answer 1

To create a table of values for Madeline's total pay based on the number of computers sold, we'll use her base pay and commission structure.

Madeline's total pay, \( P \), can be calculated using the equation:

\[
P = 80 + 20x
\]

where:
- \( P \) is the total pay in dollars,
- \( 80 \) is her daily base pay,
- \( 20 \) is the commission per computer sold,
- \( x \) is the number of computers sold.

Now, let's fill in the table with the corresponding values based on the number of computers sold:

| Number of Computers Sold (x) | Madeline's Daily Pay in Dollars (P) |
|-------------------------------|--------------------------------------|
| 0 | \( 80 + 20(0) = 80 \) |
| 1 | \( 80 + 20(1) = 100 \) |
| 2 | \( 80 + 20(2) = 120 \) |
| 3 | \( 80 + 20(3) = 140 \) |

So the completed table is:

| Number of Computers Sold (x) | Madeline's Daily Pay in Dollars (P) |
|-------------------------------|--------------------------------------|
| 0 | 80 |
| 1 | 100 |
| 2 | 120 |
| 3 | 140 |

Thus, the equation for Madeline's total pay \( P \) in terms of \( x \) is:

\[
P = 80 + 20x
\]