Question

Please help me!!!!!
Determine a mathematical model that represents this data by examining the patterns in the table.

Number of Folds Number of Sections
0 0
1 2
2 4
3 8
4 16
5 32
6 64

Answer 1

if F=number of folds and S=number of sections then for F>0
\[ \large S=2=2^1\qquad F=1 \]
\[ \large S=4=2^2\qquad F=2 \]
\[ \large S=8=2^3\qquad F=3 \]
\[ \large S=16=2^4\qquad F=4 \]
\[ \large S=32=2^5\qquad F=5 \]
\[ \large S=64=2^6\qquad F=6 \]