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?

Here u go lil bro,

550w>4500+200w

Explanation:

Since 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

550w>4500+200w because she earns 550 per week and spends 200 a week but originally spent 4500 and it has to be a greater than sign not a greater than or equal to sign because she wants to make a profit not just be equal to how much she originally spent.

Explanation: have a good day