John and his son are building a boxcar for a competition. The rules state:

1. The length of the car must be 3 inches greater than its width.
2. The width of the car must be at least 2 inches greater than the radius of the wheels.
3. They must spend no more than [tex]$50. The cost of the base is $[/tex]0.50 per square inch, and each of the 4 wheels costs $2.25 per inch of radius.

If [tex]\(x\)[/tex] represents the width of the car and [tex]\(y\)[/tex] represents the radius of the wheels, which of the following systems of inequalities can be used to determine the length and width of the car and the radii of the wheels?

A.
[tex]\[
\begin{aligned}
y & \geq z+2 \\
y & \leq \frac{N}{9} - \frac{1}{6}x - \frac{1}{9}x^2
\end{aligned}
\][/tex]

B.
[tex]\[
\begin{aligned}
y & \leq z-2 \\
y & \leq \frac{6}{9} - \frac{1}{6}z - \frac{1}{9}z^2
\end{aligned}
\][/tex]

C.
[tex]\[
\begin{aligned}
y & \geq z-2 \\
y & \leq \frac{6}{3} - \frac{1}{6}z - \frac{1}{18}z^2
\end{aligned}
\][/tex]

D.
[tex]\[
\begin{aligned}
y & \leq x-2 \\
y & \leq \frac{60}{7} - \frac{1}{6}z - \frac{1}{18}z^2
\end{aligned}
\][/tex]