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The drama club is selling candles for a fundraiser. They spend \( \$ 100 \) on the candles and sell them for \( \$ 4.50 \) each The inequality \( x>50 \) is the solution to the inequality representing the situation, where \( x \) represents the number of candles sold. Which are viable solutions in the context of the situation? Check all that apply. 0 50 50.5 56 60 . .

Ask by Newton Schofield. in the United States
Feb 22,2025

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Answer

The viable solutions are 50.5, 56, and 60.

Solution

To determine the viable solutions in the context of the situation, we need to analyze the inequality \( x > 50 \), where \( x \) represents the number of candles sold. 1. **Understanding the inequality**: The inequality \( x > 50 \) means that the number of candles sold must be greater than 50. Therefore, any value of \( x \) that is 50 or less is not a viable solution. 2. **Checking the provided options**: - **0**: This is not greater than 50. **Not viable.** - **50**: This is equal to 50, not greater. **Not viable.** - **50.5**: This is greater than 50. **Viable.** - **56**: This is greater than 50. **Viable.** - **60**: This is greater than 50. **Viable.** 3. **Conclusion**: The viable solutions in the context of the situation are: - **50.5** - **56** - **60** Thus, the viable solutions are \( 50.5, 56, \) and \( 60 \).

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To determine viable solutions for the inequality \( x > 50 \), we need to find values of \( x \) that are greater than 50. This means that: - **0** is a no-go because it’s less than 50. - **50** doesn’t cut it either, as it’s equal to 50, but the solution requires more than 50. - **50.5** is a valid option because it exceeds 50. - **56** is also a great option since it’s well above 50. - **60** passes the test brilliantly as it clearly surpasses 50. So, the viable solutions in this context are **50.5**, **56**, and **60**! The drama club is pulling double duty with this fundraiser; not only do they get to light up people's lives with cozy candlelight, but they also learn valuable lessons about budgeting and sales. Selling candles encourages teamwork, creativity, and enhances their project management skills—all while generating funds to support their future performances! And let's not forget about their potential pitfalls—one common mistake in these types of fundraisers is underestimating costs. Make sure to keep track of your spending and ticket sales to maintain a clear profit margin. Also, promote the sale effectively so that their lovely candles end up in as many homes as possible, ensuring the fundraiser meets (and hopefully exceeds!) its financial goals. Happy fundraising!

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