Question

A salesperson earns $450 per week plus 15% of her weekly sales. The following describes the sales necessary for the salesperson to earn at least $600 in one week?

Answer 1

Option A. x ≥ 1000

Explanation:

A salesperson earns $450 per week plus 15% of her weekly sales.

We will calculate the sales necessary for the salesperson to earn at least $600 in one week.

Let the sales in one week be x

15% of x + 450 ≥ $600

0.15x + 450 ≥ 600

0.15x ≥ 600 - 450

0.15x ≥ 150

x ≥
`(150)/(0.15)`

x ≥ $1,000

Her weekly sales should be equal to or more $1000.

Therefore, the equation would be x ≥ 1000

Option A. x ≥ 1000

Answer 2

A. x≥1000

Explanation:

Given that earnings per week is $450+ 15% of sales

Expression for earnings per week is $450+0.15 x where x are sales per week

For earnings to be $600, you find the sales

$450 +0.15x= $600-----------------------collect like terms

0.15x=$600-$450

0.15x=$150 -------------------------divide both sides by 0.15 to get x

0.15x/0.15=150/0.15

x=1000

The sales should be 1000 or more

x≥ 1000