eduardo started a business selling sporting goods. he spent $7500 to obtain his merchandise, and it costs…

eduardo started a business selling sporting goods. he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. he earns $850 per week in sales. what is the minimum number of weeks it will take for eduardo to make a profit? which inequality models this problem? 850w < 7500 + 300w 850w ≥ 7500 + 300w 300w > 7500 + 850w 850w > 7500 + 300w

eduardo started a business selling sporting goods. he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. he earns $850 per week in sales. what is the minimum number of weeks it will take for eduardo to make a profit? which inequality models this problem? 850w < 7500 + 300w 850w ≥ 7500 + 300w 300w > 7500 + 850w 850w > 7500 + 300w

Answer

Explanation:

Step1: Define profit condition

Profit occurs when total earnings are greater than total costs. Let $w$ be the number of weeks. Total earnings per week is $850$, so in $w$ weeks, earnings are $850w$. Initial cost is $7500$ and weekly cost is $300$, so total cost in $w$ weeks is $7500 + 300w$.

Step2: Set up the inequality

We need $850w>7500 + 300w$ to have a profit.

Answer:

D. $850w>7500 + 300w$