Question

A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if the salesperson is to have a monthly income of at least $1800?
x ≤ $45,000




x ≤ $55,000




x ≥ $55,000




x ≥ $45,000

Answer 1

Answer:

C. $x\geq 55000$

Step-by-step explanation:  

Let x be the total monthly sales.

We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.  

This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:

$700+(\frac{2}{100})x\geq 1800$

$700+0.02x\geq 1800$

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

$700-700+0.02x\geq 1800-700$

$0.02x\geq 1100$

Divide both sides of inequality by 0.02.

$\frac{0.02x}{0.02}\geq \frac{1100}{0.02}$

$x\geq \frac{1100}{0.02}$

$x\geq 55000$

Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.