A salesperson earns $320 per week plus 8% of her weekly sales. The expression representing her earnings is 320 + 0.08x. Which of the following describes the sales necessary for the salesperson to earn at least $1000 in the one week?

Respuesta :

Answer:

Here, x represents the weekly sale

As per the statement:

A salesperson earns $320 per week plus 8% of her weekly sales.

"8% of her weekly sales" means [tex]\frac{8}{100}x = 0.08x[/tex]

then;

the expression which represents her earning = [tex]320+0.08x[/tex]

"At least" means [tex]"\geq"[/tex]

then;

the sales necessary for the salesperson to earn at least $1000 in the one week

⇒[tex]320+0.08x\geq 1000[/tex]

Subtract 320 from both sides we have;

[tex]0.08x\geq 680[/tex]

Divide both sides by 0.08 we get:

[tex]x\geq 8500[/tex]

Therefore, the sales necessary for the salesperson to earn at least $1000 in the one week is: greater than or equal to $8500 i.e  [tex]x\geq 8500[/tex]