reiko started a business selling home medical supplies. she spent $6500 to obtain her m costs her $550 per…

reiko started a business selling home medical supplies. she spent $6500 to obtain her m costs her $550 per week for general expenses. she earns $900 per week in sales. what is the number of weeks it will take for reiko to make a profit? which inequality models this problem? 900w > 6500 + 550w 550w > 6500 + 900w 900w ≥ 6500 + 550w 900w < 6500 + 550w

reiko started a business selling home medical supplies. she spent $6500 to obtain her m costs her $550 per week for general expenses. she earns $900 per week in sales. what is the number of weeks it will take for reiko to make a profit? which inequality models this problem? 900w > 6500 + 550w 550w > 6500 + 900w 900w ≥ 6500 + 550w 900w < 6500 + 550w

Answer

Explanation:

Step1: Define profit - revenue and cost relationship

Profit is made when revenue exceeds cost. Let $w$ be the number of weeks. Revenue per week is $900$, so total revenue after $w$ weeks is $900w$. Initial cost is $6500$ and weekly expense is $550$, so total cost after $w$ weeks is $6500 + 550w$.

Step2: Set up the inequality

For profit, revenue must be greater than cost. So the inequality is $900w>6500 + 550w$.

Answer:

A. $900w>6500 + 550w$