Question

21/84
solve for w: j = 4w
note! it means isolate w.
what do you need to do to the coefficient?
-1/4
0.25
-0.25
4

Explanation:

Step1: Identify the equation

We have the equation \( j = 4w \), and we need to solve for \( w \). This means we want to isolate \( w \) on one side of the equation.

Step2: Use inverse operation

The coefficient of \( w \) is 4 (since \( 4w \) means 4 multiplied by \( w \)). To isolate \( w \), we need to perform the inverse operation of multiplication, which is division. So we divide both sides of the equation by 4.

Mathematically, that is:

$$ \frac{j}{4}=\frac{4w}{4} $$

Step3: Simplify the equation

Simplifying the right - hand side, \( \frac{4w}{4}=w \) (because 4 divided by 4 is 1, and \( 1\times w = w \)). So the equation becomes \( w=\frac{j}{4} \), and \( \frac{1}{4}=0.25 \), so we are dividing by 4 (or multiplying by \( \frac{1}{4}=0.25 \)) to the coefficient (which is 4) to isolate \( w \). Among the given options, 0.25 is the value of \( \frac{1}{4} \), which is the operation we perform on the coefficient (divide by 4 or multiply by 0.25) to isolate \( w \).

Answer:

B. 0.25 (assuming the second option is labeled as B, if the options are labeled as A: - 1/4, B: 0.25, C: - 0.25, D: 4)