9514 1404 393
Answer:
y = 0.2·0.5^x
Step-by-step explanation:
The form of an exponential function is ...
y = a·b^x
If you look at the values of this for x=0 and x=1, you find ...
For x=0
y = a·b^0 = a·1 = a
The table tells us the corresponding value of y is 0.2, so ...
a = 0.2
For x=1
y = a·b^1 = ab
For the given value of a and the table value of y for x=1, we have ...
0.1 = 0.2·b
b = 0.1/0.2 = 1/2 = 0.5
Then the exponential function that describes the table is ...
y = 0.2·0.5^x
