Answer:
[tex]y=0.2(0.5)^x[/tex] is the answer.
Step-by-step explanation:
Let the equation of the exponential function is,
[tex]y=a(b)^x[/tex]
Two points from the given table which lie on the graph are (0, 0.2) and (1, 0.1)
For a point (0, 0.2),
0.2 = [tex]a(b)^0[/tex]
a = 0.2
For another point (1, 0.1),
0.1 = [tex]0.2(b)^1[/tex]
b = [tex]\frac{0.1}{0.2}[/tex] = 0.5
Therefore, exponential function defined by the given table is,
[tex]y=0.2(0.5)^x[/tex]
