9514 1404 393
Answer:
y = 0.2·0.5^x
Step-by-step explanation:
An exponential function is generally of the form ...
y = a·b^x
where 'a' is the function value when x=0, and b is the ratio between values for x=1 and x=0.
In the given table, y = 0.2 for x = 0, so a = 0.2.
We find that the value for x = 1 is 0.1, so the value of b is ...
b = 0.1/0.2 = 0.5
Then the exponential function is ...
y = 0.2·0.5^x
