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.

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