Question

y=4x(8-x). Linear or nonlinear? explain.

Answer 1

Answer:

not linear

Step-by-step explanation:

this equation becomes y = -4x² + 32x which is a quadratic equation that, when graphed, forms an upside down u-shaped curve (upside down because the x² term is negative; if it's positive then the curve is u-shaped)

Answer 2

Answer:

Nonlinear

Step-by-step explanation:

Simplifying the function, we get:

$y=4x(8-x)$

$y=4x*8+4x*(-x)$ (Distribute)

$y=32x-4x^{2}$

In a linear function, the highest power of $x$ will be $1$. This is not the case here as the highest power of $x$ is $2$ due to the $-4x^{2}$, which means that the given function cannot be linear. Therefore, the answer is nonlinear. Hope this helps!