At 6:00 AM the air temperature at a campsite was

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

At 6:00 AM the air temperature at a campsite was 12 ∘C12\,^{\circ}\text{C}. By 2:00 PM it had reached 28 ∘C28\,^{\circ}\text{C}. Assuming temperature varies continuously with time, explain why there must have been a moment between 6:00 AM and 2:00 PM when the temperature was exactly 20 ∘C20\,^{\circ}\text{C}.

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