Question

Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earned $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit? Write an inequality to model the problem.
A.)550w > 4500 + 200w

b.)200w > 4500 + 550w

c.) 550w < 4500 + 200w

d.)200w 4500 + 550w
...?

Answer 1

"550w > 4500 + 200w" is the one inequality among the following choices given in the question that models the problem. The correct option among all the options that are given in the question is the first option. Now let us try to find the number of weeks required to earn a profit.

550w > 4500 + 200w
550w - 200w > 4500
350w > 4500
w > 4500/350
w > 12.8 weeks
From the above deduction, it can be concluded that approximately 13 weeks will be required to earn profit.

Answer 2

The correct answer is 13 weeks.