The depth (in feet) of a river is measured every 3 hours on a particular day

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The depth dd (in feet) of a river is measured every 3 hours on a particular day, producing the data in the table below. Time after midnight (h): 0 3 6 9 12 Depth dd (ft): 4.2 4.8 5.6 6.1 6.8 Assuming depth varies continuously, on which of the following intervals is a depth of exactly 5 ft guaranteed to occur? (a) Between 6 h6\text{ h} and 9 h9\text{ h} (b) Between 3 h3\text{ h} and 6 h6\text{ h} (c) Between 0 h0\text{ h} and 3 h3\text{ h} (d) Between 9 h9\text{ h} and 12 h12\text{ h}

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