A hiker begins a climb at an altitude of 1 200 m

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

Problem

A hiker begins a climb at an altitude of 1 200 m. After walking 4 km along the trail, her altitude is 1 650 m. The trail’s altitude is a continuous function of distance. Explain why the hiker must have passed some point where the altitude was 1 500 m.

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