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 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 yes, it is a viable option.

Answer 1

To determine the correct inequality and whether the 725 bars are a viable option for the adventure club, let's break down the information given.

1. Cost of the bars: The club bought 725 bars for $400.
2. Selling price: Each bar sells for $2.
3. Desired profit: The club needs to make at least $1,000.

Step 1: Calculate Revenue

Let \( b \) be the number of bars sold. The revenue generated from selling \( b \) bars is: \[ \text{Revenue} = 2b \]

Step 2: Calculate Profit

The profit can be determined by subtracting the cost from the revenue: \[ \text{Profit} = \text{Revenue} - \text{Cost} = 2b - 400 \]

Step 3: Set Up the Inequality

To find how many bars they need to sell to make at least $1,000 in profit, set up the inequality: \[ 2b - 400 \geq 1000 \]

Step 4: Solve the Inequality

Add 400 to both sides: \[ 2b \geq 1400 \] Divide by 2: \[ b \geq 700 \]

Step 5: Determine if 725 Bars is Viable

Since the club has 725 bars, we check if this amount meets the requirement:

• The number of bars they can sell (725) is greater than 700 (the minimum required) which means they can indeed make enough profit.

Conclusion

Now, let's summarize the responses: The correct inequality is: \[ 2b - 400 \geq 1000 \]

And, since 725 bars is enough to meet the desired profit: Yes, it is a viable option.

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