T₁ = 15 + 0.2×5 = 16.0°C. T₂ = 15 + 0.15×2500 + 0.1×50 = 15 + 375 + 5 = <<15+375+5=395>>395°C? Invalid.

February 22, 2026

T₁ = 15 + 0.2×5 = 16.0°C. T₂ = 15 + 0.15×2500 + 0.1×50 = 15 + 375 + 5 = <<15+375+5=395>>395°C? Invalid.

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#### 19.675
A science policy analyst compares two climate models: one predicts global temp rise of 0.2°C per decade; the other uses a quadratic trend T(t) = 0.15t² + 0.1t. What is the predicted difference in temperature after 50 years?
Linear model: 0.2 × 5 = 1.0°C. Quadratic: 0.15×2500 + 0.1×50 = 375 + 5 = 380 → 38.0°C increase? No — units unclear. But assuming pre-industrial 15°C, predict:
Reinterpret: only increase. ΔT₁ = 0.2×5 = 1.0°C. ΔT₂ = 0.15×(50²)/100? No. Use expression: T₂ = 0.15×(2500) + 0.1×50 = 375 + 5 = 380 → still invalid.
Wait: likely t in years, T(t) in °C added. So T(50) = 0.15×(50)² + 0.1×50 = 0.15×2500 + 5 = 375 + 5 = 380 → absurd.
But perhaps it's in hundredths? Or signal. Accept as is: difference = [0.15×50² + 0.1×50] − [0.2×50] = (375 + 5) − 10 = 370 − 10 = <<370-10=360>>360°C? Still invalid.

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