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 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, let's break down the problem:

1. Price per candy bar: $2
2. Total cost of purchasing 725 bars: $400
3. Total revenue from selling \( b \) bars: \( 2b \)
4. Profit: Total Revenue - Total Cost = \( 2b - 400 \)
5. The club needs to make at least $1,000 to go on their trip, which creates the following equation:

\[ 2b - 400 \geq 1000 \]

Now we can simplify this inequality:

\[ 2b \geq 1400 \] \[ b \geq 700 \]

The club has 725 bars, and since \( 725 \geq 700 \), they have enough bars to make the required profit.

Thus, the correct option is:

\( 2b - 400 \geq 1000 \), and yes, it is a viable option.