Question

is the function $y = \frac{x}{10} + \frac{9}{8}$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) (slope) and \( b \) (y - intercept) are constants, and the exponent of \( x \) is 1.

Step2: Analyze the given function

The given function is \( y=\frac{x}{10}+\frac{9}{8} \). We can rewrite \( \frac{x}{10} \) as \( \frac{1}{10}x \). So the function is in the form \( y = mx + b \), where \( m=\frac{1}{10} \) (a constant) and \( b = \frac{9}{8} \) (a constant), and the exponent of \( x \) is 1.

Answer:

linear