# Which inequality models this problem? Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit? 550w>4500+200w 550w<4500+200w 200w>4500+500w 200w≥4500+550w

1 answer

###### Question:

Which inequality models this problem?

Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales.

What is the minimum number of weeks it will take for Josephine to make a profit?

550w>4500+200w

550w<4500+200w

200w>4500+500w

200w≥4500+550w

Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales.

What is the minimum number of weeks it will take for Josephine to make a profit?

550w>4500+200w

550w<4500+200w

200w>4500+500w

200w≥4500+550w

## Answers

Answer:550w>4500+200wStep-by-step explanation: she earns $550 per week, Josephine's earnings can be represented as 550w, where w is the number of weeks. Her costs are $200 per week, or 200w, plus the 4500 start up costs; this gives us 200w+4500. We want a profit; this means the amount she earns, 550w, must be greater than the costs, 200w+4500: 550w > 200w + 4500, or 550w > 4500 + 200w

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