Answer:
a = 4, b = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use any ordered pairs of points from the table.
Substitute into the equation and solve for a and b, that is
Using (0, 4), then
4 = a[tex]b^{0}[/tex] = a
Hence a = 4
Using (2, 1), then
1 = 4[tex]b^{2}[/tex] ( divide both sides by 4 )
b² = [tex]\frac{1}{4}[/tex] ( take the square root of both sides )
b = [tex]\frac{1}{2}[/tex]
Equation is
y = 4[tex](\frac{1}{2}) ^{x}[/tex]
