The expression 12(x + 4) represents the total cost of CDs Mei bought in April and May at $12 each. Which property is applied to write the equivalent expression 12x + 48?


A- Associative Property of Addition

B- Associative Property of Multiplication

C- Commutative Property of Multiplication

D- Distributive Property

Verified Answer :

D because you have to distribute the twelve to complete the equation

Answer:

Option D is correct.

Distributive Property.

Step-by-step explanation:

The distributive property says that:

\(a \cdot (b+c) = a\cdot b + a\cdot c\)

Given the expression:

\(12(x+4)\)

which represents the total cost of CDs Mei bought in April and May at $12 each.

\(12(x+4)\)

Using distributive property, we have;

\(12 \cdot x + 12 \cdot 4\)

Simplify:

12x + 48

Therefore, the property which is applied to write the equivalent expression 12x+ 48 is, distributive property