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Which of the following values of $c$ satisfies the conclusion of the Mean Value Theorem for the function $f\left( x \right) =\sqrt {3x+1 } $ on the closed interval $[0,5]$?

A

$0$

B

$\cfrac { 3 }{ 5 } $

C

$\cfrac { 7 }{ 4 } $

D

$\cfrac {5 }{2 } $

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