Question

A salesperson earns $350 per week plus 12% of her weekly sales. The expression representing her earnings is 350+0.12x. which of the following describes the sale necessary for the salesperson to earn at least $800 in one week

A) X <=2917

B) x >=2917

C) x <=3750

D) x >=3750

Answer 1

The correct option is D.

Explanation:

It is given that a salesperson earns $350 per week plus 12% of her weekly sales.

Let x be the weekly sales.

The expression representing her earnings is

`350+0.12x`

The sale necessary for the salesperson to earn at least $800 in one week.

`350+0.12x\geq 800`

Subtract 350 from both sides.

`350+0.12x-350\geq 800-350`

`0.12x\geq 450`

Divide both sides by 0.12.

`(0.12x)/(0.12)\geq (450)/(0.12)`

`x\geq 3750`

Therefore, the correct option is D.

Answer 2

D) x ≥ 3750

Explanation:

For this situation, we begin with our expression, 350+0.12x. Since the salesperson wants to earn at least $800, this means she could earn more as well. This is the symbol greater than or equal to:

350+0.12x ≥ 800

Subtract 350 from each side:

350+0.12x-350 ≥ 800-350

0.12x ≥ 450

Divide both sides by 0.12:

0.12x/0.12 ≥ 450/0.12

x ≥ 3750