The adventure club is selling candy bars to go on their annual outing the bar sale for $2 a bar the club brought $725 bars for $400 the club needs to make at least $1,000 to go in their trip which inequality best represents this problem and there are 725 bars of viable option to make enough profit

Answer 1

Let's break down the information provided:

1. The club sells each candy bar for $2.
2. The club bought 725 bars for $400.
3. The club needs to make at least $1,000 to go on their trip.

To find the inequality that represents this situation, we'll first determine how much money the club makes from selling a certain number of bars.

Let \( x \) be the number of candy bars sold. The revenue from selling \( x \) bars is:

\[ Revenue = 2x \]

The club's costs for purchasing the bars are fixed at $400. Therefore, the profit (revenue - cost) from selling \( x \) bars would be:

\[ Profit = Revenue - Cost = 2x - 400 \]

We want this profit to be at least $1,000:

\[ 2x - 400 \geq 1000 \]

Now, we can simplify this inequality:

1. Add 400 to both sides:

\[ 2x \geq 1400 \]

2. Divide by 2:

\[ x \geq 700 \]

So the inequality that represents how many bars need to be sold in order to make at least $1,000 in profit is:

\[ x \geq 700 \]

Since they have 725 bars available, selling at least 700 bars is possible for the club to achieve their fundraising goal. Therefore, the exploration is indeed viable.