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Math·Advanced Math·Nonlinear functions

hard

The function $j$ is defined by $j(x)=\frac{10x+5}{3p}$, and the function $k$ is defined by $k(x)=\frac{j(x)\cdot p}{x+1}$, where $p$ is a positive constant. What is the value of $k(9)$?

A

$\frac{19}{6}$

B

$\frac{10}{3}$

C

$\frac{95}{13}$

D

$\frac{85}{3}$