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 greater 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 less 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 to make enough profit, let's break this down.

1. **Understanding the Problem**:
- The club sells each candy bar for $2.
- They bought 725 bars for $400.
- They need to make a total of $1,000 for the trip.
- The cost to buy the bars is $400.

2. **Calculating Revenue**:
- If the club sells \( b \) bars, the revenue from selling those bars is \( 2b \).

3. **Calculating Profit**:
- The profit can be calculated as:
\[
\text{Profit} = \text{Revenue} - \text{Cost}
\]
- Therefore, substituting the revenue:
\[
\text{Profit} = 2b - 400
\]

4. **Setting Up the Inequality**:
- The club needs to make at least $1,000, so we set up the inequality:
\[
2b - 400 \geq 1000
\]

5. **Solving the Inequality**:
- Adding 400 to both sides:
\[
2b \geq 1400
\]
- Dividing both sides by 2:
\[
b \geq 700
\]

6. **Analyzing the 725 bars**:
- Since \( 725 \geq 700 \), selling 725 bars would meet the requirement to make at least $1,000 in profit.

Based on this analysis, the correct response is:

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