Answer
$ y=96 e^{-0.968x}$
Work Step by Step
We are given $ y=96( 0.38)^x $
Re-arrange as: $ y=96e^{\ln 0.38 x}$
Simplify it by applying the rule $\log e^a=a $ with $ a= 0.38$ to obtain:
$ y=96 e^{-0.968x}$
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