Question

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?

Answer 1

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
`(8)/(100)x = 0.08x`

then;

the expression which represents her earning =
`320+0.08x`

"At least" means

then;

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

⇒
`320+0.08x\geq 1000`

Subtract 320 from both sides we have;

`0.08x\geq 680`

Divide both sides by 0.08 we get:

`x\geq 8500`

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
`x\geq 8500`