D. f(x)=4 (5/2)^x
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ANSWER
y varies inversely as x exponent 4.
EXPLANATION
The inverse variation equation is given as:

We can see that there is an inverse relation between the quantity y and x.
If the it were
, we say y varies inversely as the square of x.
Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.