Question

1. which equation represents the model?

3(s + 4) = 30

1. describe the equation in words.

(s + 4) + (s + 4) + (s + 4) = 30
3(s + 4) = 30

1. the product of 3 and s + 4 is 30.
2. what is the value of s + 4?

3(s + 4) = 30
s + 4 =
(image shows three rectangles labeled s+4, total length 30, and a number grid with 7,8,4,5)

Explanation:

Step1: Analyze the equation

We have the equation \(3(s + 4)=30\). To find the value of \(s + 4\), we can use the inverse operation of multiplication, which is division.

Step2: Divide both sides by 3

Divide both sides of the equation \(3(s + 4)=30\) by 3. So we get \(\frac{3(s + 4)}{3}=\frac{30}{3}\).

Step3: Simplify the equation

Simplifying both sides, the left side becomes \(s + 4\) (since \(\frac{3}{3}=1\)) and the right side becomes 10 (since \(\frac{30}{3}=10\)). So \(s + 4 = 10\).

Answer:

10