Answer:
The function which models the scenario is
Initial thickness = 2 mm
Value of thickness per fold = 2(previous thickness)
A table can be created thus :
Number of folds(x) __ Thickness
0 _______________ 2
1 _______________ 2(2) = 4
2 _______________ 2(4) = 8
3 _______________ 2(8) = 16
4 ______________ 2(16) = 32
5 ______________ 2(32) = 64
The relation is an exponential function which can be modeled thus :
A = Initial thickness
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P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm
l=6+5•12
l=6+60
l=66cm
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