Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a[tex]b^{x}[/tex]
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , that is
a = 4 , so
y = 4[tex]b^{x}[/tex]
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
[tex]\sqrt{25}[/tex] = b , that is
b = 5
then exponential function is
y = 4 . [tex]5^{x}[/tex]
