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📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 5**Question:** A soil scientist is analyzing soil samples where the nutrient levels are represented as numbers. If the nutrient level represented by \( x \) is a positive multiple of 3 and \( x^2 \) is less than 1000, what is the largest possible value of \( x \)?

📌 Solution:** We are given that \( x \) is a positive multiple of 3, and \( x^2 < 1000 \). To find the largest possible value of \( x \), we first solve the inequality:

📌 x^2 < 1000

📌 Taking the square root of both sides, we get:

📌 x < \sqrt{1000} \approx 31.62

📌 Since \( x \) must be a positive multiple of 3, we consider the multiples of 3 that are less than 31.62: \( 3, 6, 9, \ldots, 30 \). The largest multiple of 3 less than 31.62 is 30. To verify:

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