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 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. 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.

Answer 1

To determine the correct inequality and whether the club can make the necessary profit, let's break down the problem step by step.

1. Selling Price: Each candy bar sells for $2. If \( b \) represents the number of bars sold, the total income from selling \( b \) bars is \( 2b \).

2. Cost: The club bought the bars for $400.

3. Profit: Profit can be calculated as: \[ \text{Profit} = \text{Income} - \text{Cost} \] Thus, the profit can be expressed as: \[ \text{Profit} = 2b - 400 \]

4. Profit Requirement: The club needs to make at least $1,000 to go on their trip. Therefore, we can set up the inequality: \[ 2b - 400 \geq 1000 \]

5. Solving the Inequality: \[ 2b - 400 \geq 1000 \] Adding 400 to both sides: \[ 2b \geq 1400 \] Dividing both sides by 2: \[ b \geq 700 \]

6. Checking Viability: The club has 725 bars, which is greater than 700. Thus, they can sell 725 bars and generate enough profit.

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