Question

If a sales rep earns $12 per hour plus $15 per unit sold, how much will he have earned after 20 hours and 15 units sold?

Answer 1

Here,
At the rate of $12 per hour, after 20 hours
`20*$12=$240`
At the rate of $15 per sold unit, after 15 sold units
`15*$15=$225`
Total=$240+$225=$465.

Answer 2

See a solution process below:

Explanation:

We can write a formula for the salary as:

`s = (h * r) + (u * c)`

Where:

• `h` is the number of hours worked: `20"hrs"` for this problem.

• `r` is the hourly rate the person is paid: `($12)/"hr"` for this problem.

• `u` is the number of units sold: `15"un"` for this problem.

`c` is the commission rate on units sold: `($15)/"un"` for this problem.

Substituting and calculating `s` gives:

`s = (20"hrs" * ($12)/"hr") + (15"un" * ($15)/"un")`

`s = (20color(red)(cancel(color(black)("hrs"))) * ($12)/color(red)(cancel(color(black)("hr")))) + (15color(blue)(cancel(color(black)("un"))) * ($15)/color(blue)(cancel(color(black)("un"))))`

`s = (20 * $12) + (15 * $15)`

`s = $240 + $225`

`s = $465`

The salesperson would earn $465