David’s monthly salary is $2500 plus 6% commission on his sales. What must be the amount of his sales for him to earn at least $3,100 each month?
2500 + .06s ≥ 3100 , where s is his sales
.06s ≥ 600
s ≥ 600/.06
s ≥ 10,000
To determine the amount of sales David needs to earn at least $3,100 each month, we can set up an equation:
Let's denote the amount of sales as 'x'.
Commission on sales = 6% of x = 0.06x
Total monthly earnings = Salary + Commission
Based on the given information:
Total monthly earnings ≥ $3,100
Therefore, our equation becomes:
$2500 + 0.06x ≥ $3,100
To solve this inequality for 'x', we need to isolate 'x' on one side of the equation. First, let's subtract $2500 from both sides:
0.06x ≥ $3,100 - $2500
0.06x ≥ $600
Next, divide both sides by 0.06:
x ≥ $600 / 0.06
x ≥ $10,000
Therefore, David must have sales of at least $10,000 each month to earn at least $3,100.