Consider the Parametric Equations $x = 5 \sqrt { t }$

Multiple Choice

Consider the parametric equations $x = 5 \sqrt { t }$ and $y = 2 + 7 t$ . Find the rectangular equation by eliminating the parameter.

A) $y = \frac { 7 } { 25 } x ^ { 2 } + \frac { 2 } { 25 }$
B) $y = 175 x ^ { 2 } + 2$
C) $y = \frac { 1 } { 25 } x ^ { 2 } - \frac { 2 } { 7 }$
D) $y = \frac { 7 } { 25 } x ^ { 2 } + 2$
E) $y = \frac { 1 } { 175 } x ^ { 2 } + 14$