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

A 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.

B 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.

C 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.

D 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 for the adventure club, let's break down the information given in the problem.

1. Selling Price and Costs:

   • Each candy bar sells for $2.
   • The club bought 725 candy bars for $400.

2. Required Profit:

   • The club needs to make at least $1,000 for the trip.

3. Profit Calculation:

   • The revenue from selling \( b \) candy bars: \( 2b \)
   • The total cost of buying the bars is $400.
   • The profit can thus be represented as: \[ \text{Profit} = \text{Revenue} - \text{Cost} = 2b - 400 \]

4. Setting up the Inequality:

   • To determine if the club makes at least $1,000 in profit, we set up the inequality: \[ 2b - 400 \geq 1000 \]

5. Simplifying the Inequality: \[ 2b \geq 1400 \] \[ b \geq 700 \]

6. Evaluating the Option of 725 Bars:

   • The club has 725 bars, which is greater than 700. Therefore, they can sell 725 bars.

7. Conclusion: The correct inequality is: \[ 2b - 400 \geq 1000 \] And since 725 is a viable option (they can sell 725 bars), the answer is:

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