If x grows at 3 percent and y grows at -2 percent and w = x/y, then w grows at 5 percent.

Question

Quizplus · Accepted Answer

We can use the formula for percentage change:
percentage change = (final value - initial value)/initial value * 100%

First, let's find the growth rate of x and y:

- x grows at 3%, so the growth rate of x is 3%
- y grows at F1F1F1S1F1F1F102 percent, so the growth rate of y is F1F1F1S1F1F1F102%

Now, let's find the growth rate of w:
w = x/y
This means that the percentage change in w is equal to the percentage change in x minus the percentage change in y:
percentage change in w = (percentage change in x) - (percentage change in y)
percentage change in w = 3% - F1F1F1S1F1F1F102%
percentage change in w = 3% - (F1F1F1S1F1F1F102/100)
percentage change in w = 300/100 - F1F1F1S1F1F1F102/100
percentage change in w = (300 - F1F1F1S1F1F1F102)/100

Simplifying the expression, we get:
percentage change in w = (200 + F1F1F1S1F1F1F102)/100

We can see that the percentage change in w only depends on F1F1F1S1F1F1F102. It is not affected by the growth rate of x or y.

Now we can solve for F1F1F1S1F1F1F102:
Let's assume F1F1F1S1F1F1F102 = 2%
percentage change in w = (200 + 2)/100 = 2.02 = 2%

This means that if F1F1F1S1F1F1F102 = 2%, then the growth rate of w is 2%.

Therefore, the statement "w grows at 5 percent" is false. The correct answer is A) True, w grows at 2%.

If X Grows at 3 Percent and Y Grows at -2