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 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 selling 725 bars is a viable option for the adventure club, we first need to set up the inequality based on the information given.

1. The total revenue from selling candy bars is represented by \( 2b \) (where \( b \) is the number of bars sold).
2. The club's expenses are $400.
3. The club wants to make at least $1,000 in profit.

The profit is calculated as total revenue minus expenses, which gives us the inequality:

\[ 2b - 400 \geq 1000. \]

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

1. Add 400 to both sides: \[ 2b \geq 1400. \]

2. Divide both sides by 2: \[ b \geq 700. \]

This means the club needs to sell at least 700 bars to make a profit of at least $1,000.

Now, with 725 bars available for sale:

Since 725 is greater than 700, the club can indeed sell enough bars to achieve their profit goal.

Thus, the correct inequality is:

\[ 2b - 400 \geq 1000 \]

and yes, it is a viable option.

So the correct response is:

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