Question

which statement best describes the relationship shown in the equation?
y - 8x = 5

a. this is a functional relationship.

b. it cannot be determined if this is or is not a functional relationship.

c. this is not a functional relationship.

Explanation:

To determine if \( y - 8x = 5 \) (or \( y=8x + 5 \)) is a function, we use the vertical line test concept. For a linear equation in the form \( y=mx + b \) (here \( m = 8 \), \( b = 5 \)), for every input \( x \), there is exactly one output \( y \). Rearranging the given equation to slope - intercept form (\( y=8x + 5 \)) shows it is a linear function, so it represents a functional relationship.

Answer:

A. This is a functional relationship.