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 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 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 find the correct inequality representing the club's goal and to determine if selling the 725 bars will meet their needs, let's break down the problem.

1. The club buys 725 candy bars for $400.
2. Each candy bar sells for $2.
3. The club needs to make at least $1,000.

Let \( b \) represent the number of bars sold.

The revenue from selling \( b \) bars is \( 2b \) (since each bar sells for $2). The profit is calculated as the revenue minus the cost of the bars. The cost of the bars is $400, so the profit can be represented by the following equation:

\[ \text{Profit} = 2b - 400 \]

The club wants to achieve at least $1,000 in profit, thus we create the inequality:

\[ 2b - 400 \geq 1000 \]

Next, we can solve for \( b \):

\[ 2b - 400 \geq 1000 \] \[ 2b \geq 1400 \] \[ b \geq 700 \]

This tells us the club must sell at least 700 bars to meet their profit goal. Since they have 725 bars available, this is indeed a viable option.

So the correct response is:

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