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: \[ 2b - 400 \geq 1000 \]

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.