Answer:
C. [tex]x\geq 55000[/tex]
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:
[tex]700+(\frac{2}{100})x\geq 1800[/tex]
[tex]700+0.02x\geq 1800[/tex]
Let us solve our inequality to find the monthly sales (x).
Subtract 700 from both sides of our inequality.
[tex]700-700+0.02x\geq 1800-700[/tex]
[tex]0.02x\geq 1100[/tex]
Divide both sides of inequality by 0.02.
[tex]\frac{0.02x}{0.02}\geq \frac{1100}{0.02}[/tex]
[tex]x\geq \frac{1100}{0.02}[/tex]
[tex]x\geq 55000[/tex]
Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.
