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where is the game tonight - Redraw

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A plant biologist observed that a certain Arctic plant’s growth rate increases by 0.5 mm per day for every 1°C rise in average temperature. If the temperature rises from 8°C to 13.5°C over 10 days, by how much does the plant grow during this period, assuming linear temperature increase?

📌 Temperature increase: 13.5 – 8 = <<13.5-8=5.5>>5.5°C.

📌 Growth rate increase: 5.5 × 0.5 = <<5.5*0.5=2.75>>2.75 mm/day.

📌 Assuming the growth rate starts at day 0 at baseline and increases linearly, average growth rate = (initial + final) / 2.

📌 Final daily growth = initial + 2.75. Let initial be r, so average rate = r + 1.375. But since only delta matters, use average daily rate:

📌 Average daily growth = (initial + (initial + 2.75)) / 2 = initial + 1.375.

📌 But we don’t know initial. Instead, model total growth using trapezoidal rule:

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