ANSWER
Jeanne's claim is true for n≥2
Jeanne's claim is false for n=0 and n=1
EXPLANATION
The given equation is
[tex]y = {x}^{n} + 28.3[/tex]
where n is a whole number.
This equation is nonlinear for
[tex]n\ge2[/tex]
In this case Jeanne's claim is true
But when n=0 or n=1, Jeanne's claim is false.
The reason is that, when n=0, the equation becomes
[tex]y = 28.3[/tex]
which is a constant function.
When n=1, the equation becomes
[tex]y = x + 28.3[/tex]
which is a linear function.