Problem

\(H(w)\) is plant height in centimeters after \(w\) weeks and has constant rate \(+1.5~\text{centimeters}~\text{per}~\text{week}\). Interpret the input, output, rate units and sign, and \(\text{one}\text{-}\text{week}\) meaning, then calculate the change over \(\text{six}~\text{weeks}\).

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input = weeks; output = centimeters of height; rate = +1.5 week/cm; sign = positive, so weeks increase; one-week meaning = each centimeter adds 1.5 weeks; 6-week change = +9 weeks

input = weeks; output = centimeters of height; rate = +1.5 cm/week; sign = positive, so height increases; one-week meaning = each week adds 1.5 cm; 6-week change = +9 cm

input = weeks; output = centimeters of height; rate = +1.5 cm/week; sign = positive, so height increases; one-week meaning = each week adds 1.5 cm; 6-week change = +1.5 cm

input = weeks; output = centimeters of height; rate = +1.5 cm/week; sign = negative, so height decreases; one-week meaning = each week loses 1.5 cm; 6-week change = -9 cm

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\(H(w)\) is plant height in centimeters after \(w\) weeks and has constant rate \(+1.5~\text{centimeters}~\text{per}~\text{week}\). Interpret the input, output, rate units and sign, and \(\text{one}\text{-}\text{week}\) meaning, then calculate the change over \(\text{six}~\text{weeks}\).

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