Question

use the distributive property to expand the expression ( y(9 - 0.2x) ).

Explanation:

Step1: Recall the Distributive Property

The Distributive Property states that \( a(b + c)=ab + ac \) (or \( a(b - c)=ab - ac \)). Here, \( a = y \), \( b = 9 \), and \( c=0.2x \).

Step2: Apply the Distributive Property

Multiply \( y \) with each term inside the parentheses:
\( y(9 - 0.2x)=y\times9 - y\times0.2x \)

Step3: Simplify the products

Simplify \( y\times9 \) to \( 9y \) and \( y\times0.2x \) to \( 0.2xy \). So the expanded form is \( 9y-0.2xy \).

Answer:

\( 9y - 0.2xy \)