The perimeter, P, in feet, of a square garden plot is given by
P(s) = 4s,
where s is the length of one side of the garden plot, in feet.
(i) Find the rate of change of the perimeter with respect to the length of the side, s.
(ii) Explain the meaning of your answer to part (i).
◦ (i) P'(s) =
; (ii) The perimeter is changing at the variable rate of
feet for every change of 1 foot in the side of the plot.
◦ (i) P'(s) = 4; (ii) The perimeter is changing at the constant rate of 4 feet for every change of 1 foot in the side of the plot.
◦ (i) P'(s) = 4s; (ii) The perimeter is changing at the variable rate of 4s feet for every change of 1 foot in the side of the plot.
◦ (i) P'(s) = s; (ii) The perimeter is changing at the variable rate of s feet for every change of 1 foot in the side of the plot.
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