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)

Question

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.