marta is a sales associate at a perfume shop.she earns 400 a week plus a 4% commission on sales.write an inequality to find the minimum amount that she needs to sell to earn at least $460 in a week?
0.04x >= 60
To find the minimum amount that Marta needs to sell to earn at least $460 in a week, we need to set up an inequality.
Let's assume the amount Marta needs to sell is "x" dollars.
Given that Marta earns $400 a week plus a 4% commission on sales, her total earnings can be calculated as follows:
Earnings = Base salary + Commission on sales
Earnings = $400 + 4% of x
Simplifying this expression, we can convert the commission percentage to its decimal form (4% = 0.04):
Earnings = $400 + 0.04x
To find the minimum amount Marta needs to sell to earn at least $460, we can set up the following inequality:
Earnings ≥ $460
$400 + 0.04x ≥ $460
Now, we can solve this inequality for x by isolating the variable:
0.04x ≥ $460 - $400
0.04x ≥ $60
Dividing both sides of the inequality by 0.04, we get:
x ≥ $60 / 0.04
x ≥ $1500
Therefore, the minimum amount Marta needs to sell in a week to earn at least $460 is $1500.