To analyze the situation, we need to determine the profit the club can make from selling the candy bars and represent it with an inequality.
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Selling Price: Each bar is sold for $2, so if \( b \) is the number of bars sold, the total revenue from selling \( b \) bars is \( 2b \).
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Cost: The club spent $400 to buy 725 bars.
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Profit: The profit can be calculated as the total revenue minus the cost, which is: \[ \text{Profit} = \text{Total Revenue} - \text{Cost} = 2b - 400 \]
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Requirement for Profit: The club needs to make at least $1,000 in profit to go on their trip: \[ 2b - 400 \geq 1000 \]
Now let’s simplify this inequality to find out how many bars need to be sold to meet the profit requirement: \[ 2b - 400 \geq 1000 \] Adding 400 to both sides: \[ 2b \geq 1400 \] Dividing both sides by 2: \[ b \geq 700 \]
This means the club needs to sell at least 700 bars to achieve a profit of $1,000.
- Viability of Selling 725 Bars: Since they have 725 bars available and they only need to sell 700 bars, selling 725 bars is indeed a viable option.
Conclusion: The inequality that represents the situation is \( 2b - 400 \geq 1000 \), and yes, it is a viable option.
Therefore, the correct response is: 2b−400≥1000 , and yes, it is a viable option.