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4. shea wrote the expression $5(y + 2) + 4$ to show the amount of money…

Question

  1. shea wrote the expression $5(y + 2) + 4$ to show the amount of money five friends paid for snacks at a baseball game. which expression is equivalent to the one shea wrote?

a. $5 + y + 5 + 2 + 4$
b. $5 \cdot y + 5 \cdot 2 + 4$
c. $5 \cdot y \cdot 5 \cdot 2 + 4$
d. $5 \cdot y \cdot 4 + 5 \cdot 2 \cdot 4$

Explanation:

Step1: Apply distributive property

$5(y+2) = 5\cdot y + 5\cdot2$

Step2: Add remaining term

$5\cdot y + 5\cdot2 + 4$

Step3: Match with options

Compare to given choices.

Answer:

b. $5 \cdot y + 5 \cdot 2 + 4$