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 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. 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
The correct inequality that represents this problem is 2b - 400 ≥ 1000, and yes, it is a viable option.
The correct answer is:
2b - 400 ≥ 1000 , and yes, it is a viable option.
This inequality represents the situation where the club needs to make at least $1000. The left side of the inequality represents the profit made from selling b bars at $2 each, subtracting the cost of buying the bars.
Since the club bought 725 bars for $400, we can substitute b = 725 into the inequality to check if it is a viable option:
2(725) - 400 ≥ 1000
1450 - 400 ≥ 1000
1050 ≥ 1000
Since 1050 is indeed greater than or equal to 1000, selling 725 bars is a viable option to make enough profit.
To determine the inequality that best represents the problem, we need to analyze the information provided. Let's break it down step by step:
1. The candy bars sell for $2 each.
2. The adventure club bought 725 bars.
3. The club needs to make at least $1,000 to go on their trip.
4. The club bought the bars for $400.
Since the candy bars sell for $2 each, the club will make 2b dollars, where b represents the number of bars sold. We can now set up an inequality based on the information provided:
2b - 400 ≥ 1000
The left side of the inequality represents the revenue (2b) minus the cost ($400), and the right side represents the minimum required profit ($1000).
To check if the 725 bars are a viable option, we substitute b = 725 into the inequality:
2(725) - 400 ≥ 1000
1450 - 400 ≥ 1000
1050 ≥ 1000
Since 1050 is greater than or equal to 1000, the adventure club would make enough profit with 725 bars. Therefore, the correct response is "2b - 400 ≥ 1000, and yes, it is a viable option."