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Home » Model: \( B(t) = 800 \cdot (0.9)^t \). - High Altitude Science

Model: \( B(t) = 800 \cdot (0.9)^t \). - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Substitute \( x = \frac{100}{23} \) into equation (2):

📌 2\left(\frac{100}{23}\right) + 5y = 10 \Rightarrow \frac{200}{23} + 5y = 10

📌 \Rightarrow 5y = 10 - \frac{200}{23} = \frac{230 - 200}{23} = \frac{30}{23}

📌 \Rightarrow y = \frac{30}{23 \times 5} = \frac{6}{23}

📌 The intersection point is:

📌 \boxed{\left( \frac{100}{23}, \frac{6}{23} \right)}

📌 A traffic congestion index is modeled by \( t^2 - 6t + 8 \leq 0 \). Find the largest value of \( t \) that satisfies this inequality.

📌 t^2 - 6t + 8 \leq 0

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