IF W VARRIES AS D SQUARE WHAT IS THE PERCENTAGE CHANGE IN W IF DECREASED BY 30%
To determine the percentage change in W when it is decreased by 30%, we need to understand how W varies with the square of D.
Let's assume the initial value of W is W0, and the initial value of D is D0.
From the information given, we can state that the relationship between W and D is as follows:
W = k * D^2
Where k is a constant of proportionality.
Now, let's determine the percentage change in W when it is decreased by 30%.
1. Calculate the new value of W when it is decreased by 30%:
New W = W0 - (30% * W0)
= W0 - (0.3 * W0) [Applying the percentage decrease]
= W0 * (1 - 0.3)
= W0 * 0.7
2. Calculate the percentage change in W:
Percentage Change = ((New W - Old W) / Old W) * 100
= ((W0 * 0.7 - W0) / W0) * 100
= ((-0.3 * W0) / W0) * 100
= -30%
Thus, the percentage change in W when it is decreased by 30% is -30%.