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2 answers:
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Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and is the decay factor and
is the growth factor.
The exponential function passes through the point (0,6). Substituting in (i), we get
The exponential function passes through the point (1,2). Substituting in (i), we get
Here, lies between 0 and 1. Therefore, the decay factor of the given exponential function is
.
Hence, the correct option is A.