As per linear equation, within 2.5 months, Rusty's hair will grow over [tex]\frac{5}{8}[/tex] inches.
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."
Given, the growth rate of Rusty's hair is [tex]\frac{1}{4}[/tex] inches per month.
Let, within 'x' months, her hair will grow [tex]\frac{5}{8}[/tex] inches.
Therefore, x × [tex]\frac{1}{4}[/tex] = [tex]\frac{5}{8}[/tex]
⇒ x = ( [tex]\frac{5}{8}[/tex] × 4)
⇒ x = 2.5
Therefore, within 2.5 months, Rusty's hair will grow over [tex]\frac{5}{8}[/tex] inches.
Learn more about linear equation here: https://brainly.com/question/18761688
#SPJ2