Problem

\(D(m)\) is distance from home in miles after \(m\) minutes walking toward home and has constant rate \(-0.08~\text{mile}~\text{per}~\text{minute}\). Interpret the input, output, rate units and sign, and \(\text{one}\text{-}\text{minute}\) meaning, then calculate the change over \(\text{five}~\text{minutes}\).

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input = minutes; output = miles from home; rate = -0.08 mile/minute; sign = positive, so distance increases; one-minute meaning = each minute adds 0.08 mile; 5-minute change = +0.40 mile

input = minutes; output = miles from home; rate = -0.08 mile/minute; sign = negative, so distance decreases; one-minute meaning = each minute reduces distance 0.08 mile; 5-minute change = -0.08 mile

input = minutes; output = miles from home; rate = -0.08 mile/minute; sign = negative, so distance decreases; one-minute meaning = each minute reduces distance 0.08 mile; 5-minute change = -0.40 mile

input = minutes; output = miles from home; rate = -0.08 minute/mile; sign = negative, so distance decreases; one-minute meaning = each mile reduces time 0.08 minute; 5-minute change = -0.40 minute

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