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Math·Advanced Math·Nonlinear functions

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The function $j$ is defined by $j(x)=16x+8$, and the function $k$ is defined by $k(x)=\frac{j(x)\cdot p}{5p(x+1)}$, where $p$ is a positive constant. What is the value of $k(9)$?

A

$\frac{142}{5}$

B

$\frac{152}{15}$

C

$\frac{16}{5}$

D

$\frac{76}{25}$