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 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.
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 no, it is not a viable option.

Answer 1

To determine the correct inequality and whether selling 725 candy bars is a viable option for the club, we need to establish the profit from selling the bars.

1. The revenue from selling \( b \) bars at $2 each is \( 2b \).
2. The cost of purchasing the bars is $400.
3. To find the profit, we calculate: \[ \text{Profit} = \text{Revenue} - \text{Cost} = 2b - 400 \]
4. The club needs to make at least $1,000 in profit, which leads us to set up the inequality: \[ 2b - 400 \geq 1000 \]

Now, we can solve for \( b \): \[ 2b - 400 \geq 1000 \] \[ 2b \geq 1000 + 400 \] \[ 2b \geq 1400 \] \[ b \geq 700 \]

Since the club has 725 bars, we can check if this is sufficient: \[ 725 \geq 700 \]

This is true, meaning selling 725 bars would allow the club to make enough profit.

So, the correct inequality is: \[ 2b - 400 \geq 1000, \text{ and yes, it is a viable option.} \]

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