he 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.

2b−400≤1000 , and yes, it is a viable option.

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

2b−400≤1000 , and no, it is not a viable option.

Answer 1

To determine the inequality that best represents the situation, we need to express the total profit the club is trying to achieve.

1. The club buys 725 candy bars for $400. The total revenue they generate from selling the bars can be expressed as: $$\text{Revenue}=2b$$ where $b$ is the number of candy bars sold.

2. The total profit they make from selling the bars can be expressed as: $$\text{Profit}=\text{Revenue}-\text{Cost}=2b-400$$

3. The club wants to make at least $1,000 in profit, which can be expressed as: $$2b-400\ge 1000$$

Now, let's check if selling all 725 bars will meet the profit goal:

4. Substitute $b=725$ into the profit equation: $$2(725)-400=1450-400=1050$$

Since $1050$ is greater than $1000$, selling 725 bars is indeed a viable option.

Therefore, the correct response is:

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