To determine the price at which each comb is being sold, we need to focus on the linear equation that represents the income from selling [tex]\( x \)[/tex] plastic combs. The income is modeled by the equation:
[tex]\[ y = \frac{x}{2} \][/tex]
Here, [tex]\( y \)[/tex] represents the total income from selling [tex]\( x \)[/tex] combs.
The form of the equation [tex]\( y = \frac{x}{2} \)[/tex] implies that the total income [tex]\( y \)[/tex] is half of the number of combs sold [tex]\( x \)[/tex]. This means that for every comb sold, the income generated can be written as:
[tex]\[ \text{Income per comb} = \frac{1}{2} \][/tex]
Since the income represents dollars, we translate this into a dollar amount per comb. Therefore:
[tex]\[ \frac{1}{2} \text{ dollars per comb} = \$0.50 \text{ per comb} \][/tex]
Thus, the price at which each comb is being sold is:
[tex]\[ \boxed{\$0.50} \][/tex]
