Question

Liz earns a salary of $2,400 per month, plus a commission of 4% of her sales. She wants to earn at least $2,800 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answer 1

s = number of sales

2,400 + .04s ≥ 2,800

We can use the variable "s" to represent the number of sales completed by Liz in a month.

Let's begin by taking the information we know—Liz's per-month-salary of $2,400 and commission rate of 4%—and presenting that information as an expression:

2400 + .04s

Since we know Liz's goal is to earn at least (≥) $2,800 in a month, the above expression representing the money Liz makes in a month should be greater than or equal to Liz's goal of $2,800:

2400 + .04s ≥ 2800

Answer 2

s = number of sales

2,400 + .04s ≥ 2,800

Explanation:

In this problem, we are trying to find the amount of sales Liz will need to meet her goal of earning at least (≥) $2,800 in a month.

We can use the variable "s" to represent the number of sales completed by Liz in a month.

Let's begin by taking the information we know—Liz's per-month-salary of $2,400 and commission rate of 4%—and presenting that information as an expression:

`2400+.04s`

Since we know Liz's goal is to earn at least (≥) $2,800 in a month, the above expression representing the money Liz makes in a month should be greater than or equal to Liz's goal of $2,800:

`2400+.04s\geq 2800`