To determine the correct inequality representing the situation and whether the 725 bars are a viable option, let's analyze the problem.
- The cost of the candy bars: The club bought 725 bars for $400.
- Each candy bar sells for $2; therefore, if they sell \( b \) bars, the revenue from selling them is \( 2b \).
- The club needs to make at least $1,000 profit to go on the trip.
The profit can be defined as:
\[ \text{Profit} = \text{Revenue} - \text{Cost} \]
Which translates to:
\[ \text{Profit} = 2b - 400 \]
To ensure they make at least $1,000, we set up the inequality:
\[ 2b - 400 \geq 1000 \]
Now, we can solve this inequality to find the minimum number of bars they need to sell:
\[ 2b \geq 1000 + 400 \] \[ 2b \geq 1400 \] \[ b \geq 700 \]
Now, since they have 725 bars:
- If \( b = 725 \), then the profit calculation is: \[ \text{Profit} = 2(725) - 400 = 1450 - 400 = 1050 \]
This profit, $1050, is indeed more than $1,000.
Thus, the inequality that best represents the problem is:
\[ 2b - 400 \geq 1000 \]
And since 725 bars will yield the required profit, the correct answer is:
2b−400≥1000 , and yes, it is a viable option.