Hardy Davison
08/05/2023 · Elementary School
(1) Suppose that a cell dehydration model satisfies the differential equation, \( \frac{d W}{d t}=-k W^{2 / 3} \) Assume that the volume of the water in the cell is inltially \( W(0)=8 \mathrm{~mm}^{3} \). Also, assume that the volume of the water has decreased to \( w(6)=1 \mathrm{~mm}^{3} \) after 6 hours
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The value of \( k \) is \( \frac{1}{2} \). The volume of water in the cell at time \( t \) is given by \( W(t) = \left(\frac{-\frac{1}{2}t + 6}{3}\right)^3 \).
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