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 greater 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 less 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 yes, it is a viable option.

Answer 1

To determine the correct inequality and whether selling the 725 candy bars is a viable option to make at least $1,000 profit, let’s break down the information provided:

1. The club sells candy bars for $2 each.
2. The club bought 725 bars for $400.
3. They want to make at least $1,000 in profit.

Profit Calculation:

• Revenue from selling \( b \) bars: \( 2b \)
• Cost of buying the bars: $400
• Profit can thus be expressed as: \[ \text{Profit} = \text{Revenue} - \text{Cost} = 2b - 400 \]

Inequality for the Profit: To ensure the club makes at least $1,000: \[ 2b - 400 \geq 1000 \]

Solve the Inequality:

• Adding 400 to both sides: \[ 2b \geq 1400 \]
• Dividing by 2: \[ b \geq 700 \]

Analysis for 725 Bars: 725 bars is greater than 700, so the club will make the required profit if they sell all 725 bars.

Conclusion:

• The correct inequality is \( 2b - 400 \geq 1000 \).
• Selling 725 bars is a viable option because the club can achieve the target profit.

Correct Response: \( 2b - 400 \geq 1000 \), and yes, it is a viable option.