Question

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)
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.**