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)

Question

Responses

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 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 greater than or equal to 1000 , and no, it is not a viable option.

2b−400≤1000 , and yes, it is a viable option.

Answer 1

To determine the correct inequality and whether selling 725 candy bars is a viable option, we need to calculate the revenue from selling the candy bars and compare it to the expenses and the target profit.

1. Selling Price: Each candy bar sells for $2.
2. Cost of the Bars: The club bought 725 bars for $400.
3. Total Revenue from selling b bars: \[ \text{Total Revenue} = 2b \]
4. Profit: Profit is calculated as: \[ \text{Profit} = \text{Total Revenue} - \text{Cost} = 2b - 400 \]
5. Desired Profit: The club needs to make at least $1,000, therefore we set up the inequality: \[ 2b - 400 \geq 1000 \]

Now, let’s solve the inequality:

• Add 400 to both sides: \[ 2b \geq 1400 \]

• Divide by 2: \[ b \geq 700 \]

Conclusion about the 725 bars:

• Since 725 is greater than 700, selling 725 bars will meet the requirement to make at least $1,000.

Thus, the correct answer is: 2b - 400 ≥ 1000, and yes, it is a viable option.