A home appliance salesperson wants to earn a total of $3,600 next month including his base salary and commissions. He earns a base salary of $800 per month and a 20% commission for all sales that month. What is the value of merchandise that the salesperson must sell to reach his goal.

Answer: the value of merchandise that the salesperson must sell to reach his goal must be $14000

Step-by-step explanation:

Let x represent the home appliance salesperson's total sales for the month.

He earns a base salary of $800 per month and a 20% commission for all sales that month. It means that his total earnings from sales worth $x is

0.2x + 800

If the home appliance salesperson wants to earn a total of $3,600 next month including his base salary and commissions, it means that

0.2x + 800 = 3600

0.2x = 3600 - 800

0.2x = 2800

x = 2800/0.2

x = 14000