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How to write a function of cutting a sheet of paper and a half and then cutting each part and a half and then cutting those parts and a half
In this problem we need an exponential function
where
x ------> is the number of cuts
y ---->the size of a sheet of paper
the equation is of the form
[tex]y=a(1-r)^x[/tex]where
a is the original size of paper
r is the rate of decay -----> in this problem r=50%=0.50
therefore
the equation is
[tex]\begin{gathered} y=a(1-0.50)^x \\ y=a(0.50)^x \end{gathered}[/tex]