1. exponential function

A quilt is 100 m. long and 1 meter wide
It has to folded to 1 meter for it to fit inside the cubby.
How can experimental function be used to describe the lengths???

Also, How could you use y=2^x to determine the # of folds for the length of 128 ?
$\displaystyle L(x) = 100 \left(\frac{1}{2}\right)^{x}$
\displaystyle \begin{aligned} L(x) &= 128 \left(\frac{1}{2}\right)^{x} \\ &= 2^7 \cdot 2^{-x} \\ &= 2^{7 - x} \end{aligned}