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The adventure club is selling candy bars to go on their annual outing. The bars sell for $2 a bar. The club bought 725 bars for...Question
The adventure club is selling candy bars to go on their annual outing. The bars sell for $2 a bar. The club bought 725 bars for $400. The club needs to make at least $1,000 to go on their trip. Which inequality best represents this problem, and are the 725 bars a viable option to make enough profit?(1 point)
Responses
2b−400≥1000 , and yes, it is a viable option.
2 b minus 400 greater than or equal to 1000 , and yes, it is a viable option.
2b−400≤1000 , and no, it is not a viable option.
2 b minus 400 less than or equal to 1000 , and no, it is not a viable option.
2b−400≥1000 , and no, it is not a viable option.
2 b minus 400 greater than or equal to 1000 , and no, it is not a viable option.
2b−400≤1000 , and yes, it is a viable option.
Responses
2b−400≥1000 , and yes, it is a viable option.
2 b minus 400 greater than or equal to 1000 , and yes, it is a viable option.
2b−400≤1000 , and no, it is not a viable option.
2 b minus 400 less than or equal to 1000 , and no, it is not a viable option.
2b−400≥1000 , and no, it is not a viable option.
2 b minus 400 greater than or equal to 1000 , and no, it is not a viable option.
2b−400≤1000 , and yes, it is a viable option.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
1. **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 \( 2b \).
2. **Cost**: The club spent $400 to buy 725 bars.
3. **Profit**: The profit can be calculated as the total revenue minus the cost, which is:
\[
\text{Profit} = \text{Total Revenue} - \text{Cost} = 2b - 400
\]
4. **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.
5. **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.**
1. **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 \( 2b \).
2. **Cost**: The club spent $400 to buy 725 bars.
3. **Profit**: The profit can be calculated as the total revenue minus the cost, which is:
\[
\text{Profit} = \text{Total Revenue} - \text{Cost} = 2b - 400
\]
4. **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.
5. **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.**
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