a saleperson earn 400$ per week plus 4% commission on sales that week. What dollar value of sales in the week person must have to earn $1100 that week?
0.04x = 700
Solve for x.
To find the dollar value of sales that the salesperson must have in order to earn $1100 in a week, we can set up an equation.
Let's denote the dollar value of sales as 'x'.
The salesperson earns $400 per week as a base salary, and also receives a 4% commission on sales. So, the commission earned in a week would be 4% of the dollar value of sales, which can be expressed as 0.04 * x.
To earn a total of $1100 in a week, the salesperson's earnings (base salary + commission) must equal $1100. Hence, we can write the equation:
400 + 0.04x = 1100
To solve this equation for 'x', we need to isolate the variable on one side. We can start by subtracting 400 from both sides:
0.04x = 700
Next, to solve for 'x', we need to divide both sides by 0.04:
x = 700 / 0.04
Calculating this value, we find:
x = 17,500
Therefore, the salesperson must have a dollar value of sales amounting to $17,500 in that week in order to earn $1100.