Question

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 less 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 less than or equal to 1000 , and no, it is not 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.

Answer 1

To analyze the situation, let's break it down:

1. **Selling Price of Bars**: Each candy bar sells for $2.
2. **Total Bars**: The club bought 725 candy bars.
3. **Total Cost for Bars**: The club spent $400 on the bars.
4. **Profit Goal**: The club needs to make at least $1,000.

Let's define:
- \( b \) = number of bars sold

The revenue from selling \( b \) bars is \( 2b \) (because each bar sells for $2).

The profit made can be calculated as:
\[
\text{Profit} = \text{Revenue} - \text{Cost}
\]
Substituting the values:
\[
\text{Profit} = 2b - 400
\]
We want this profit to be at least $1,000:
\[
2b - 400 \geq 1000
\]

Now, solving this inequality:

1. Add 400 to both sides:
\[
2b \geq 1400
\]

2. Divide by 2:
\[
b \geq 700
\]

This means the club needs to sell at least 700 bars to meet the profit goal of at least $1,000. Since the club has 725 bars, they can sell 725 bars, which satisfies the condition \( b \geq 700 \).

So, the correct response is:
\[
2b - 400 \geq 1000, \text{ and yes, it is a viable option.}
\]

Answer 2

which answer

Answer 3

The correct answer is:

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