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Math·Advanced Math·Nonlinear functions

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$f(x)=18(2.80{)}^{\frac{x}{2}}$
The function $f$ is defined by the given equation. The value of $f(x)$ increases by $p\%$ for every increase of $x$ by $4$. For which of the following functions, where $n$ is a positive constant, does the value of $g(x)$ increase by $p\%$ for every increase of $x$ by $1$?

A

$g(x)=n(1.40{)}^x$

B

$g(x)=n(2.80{)}^x$

C

$g(x)=n(6.84{)}^x$

D

$g(x)=n(7.84{)}^x$