Question

Which inequality models this problem?

Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per week for expenses. She earns $900 per week for general expenses.
What is the minimum number of weeks it will take for Reiko to make a profit?

a.) 900w ≥ 6500 + 550w
b.) 900w < 6500 + 550w
c.) 900w > 6500 + 550w
d.) 550w > 6500 + 900w

Answer 1

C

Explanation:

$6500 is a one time purchase so there is no variable attached.

$550 and $900 per week is reoccurring so there will be a variable attached.

Since $900 is what she is making each week, this will be separate from her costs (can eliminate D).

To make a profit, her amount earned will need to be greater than her expenses, so the answer is C.