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 less 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 greater 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 determine the correct inequality and whether selling 725 candy bars is a viable option, we need to calculate the revenue from selling the candy bars and compare it to the expenses and the target profit.

1. **Selling Price:** Each candy bar sells for $2.
2. **Cost of the Bars:** The club bought 725 bars for $400.
3. **Total Revenue from selling b bars:**
\[
\text{Total Revenue} = 2b
\]
4. **Profit:** Profit is calculated as:
\[
\text{Profit} = \text{Total Revenue} - \text{Cost} = 2b - 400
\]
5. **Desired Profit:** The club needs to make at least $1,000, therefore we set up the inequality:
\[
2b - 400 \geq 1000
\]

Now, let’s solve the inequality:

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

- Divide by 2:
\[
b \geq 700
\]

**Conclusion about the 725 bars:**
- Since 725 is greater than 700, selling 725 bars will meet the requirement to make at least $1,000.

Thus, the correct answer is:
**2b - 400 ≥ 1000, and yes, it is a viable option.**