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

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 $\frac{8}{100}x = 0.08x$

then;

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

"At least" means $"\geq"$

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  $x\geq 8500$