Final answer:
Kimuyen must achieve a minimum total sales of $11,875 in order to pay all her expenses.
Step-by-step explanation:
To find the minimum total sales that Kimuyen must achieve to pay all her expenses, we need to set up an equation.
Let's assume her total sales in a month is x dollars.
According to the given information, her job pays her $3,375 per month plus 4% of her total sales. So, her monthly income is $3,375 + 0.04x.
This income must be equal to or greater than her expenses of $3,850.
So, we can write the equation as:
$3,375 + 0.04x ≥ $3,850
To solve for x, we subtract $3,375 from both sides of the inequality:
0.04x ≥ $3,850 - $3,375 = $475
Then, we divide both sides of the inequality by 0.04 to isolate x:
x ≥ $475 ÷ 0.04 = $11,875
Therefore, the minimum total sales Kimuyen must achieve is $11,875.