SOLUTION: Y varies inversely as the square of x. When y is 10, x is 0.5. Find y when x is 4

Question 1098164: Y varies inversely as the square of x. When y is 10, x is 0.5. Find y when x is 4
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Formally, you can represent this inverse variation with either
or

I think inverse variation problems are easier to solve informally by thinking of the second of these forms as saying that the product of x^2 and y is a constant. If the product of two numbers is a constant, then if one goes up by a factor of x, the other has to go down by a factor of x.

In your example, the value of x went up by a factor of 8 (4/0.5 = 8); so the value of x^2 went up by a factor of 8^2=64. That means y has to go down by a factor of 64. So the new value of y is
RELATED QUESTIONS
y varies inversely as x . y is 5 when x is 4. Find y when x is 3 (answered by stanbon)

if y varies inversely as x and y =25 when x =4, find x when y is... (answered by jim_thompson5910)

For the following problems y varies inversely with the square of x. If y is 4 when x... (answered by Nate,narayaba,Prithwis)

For the following problem, y varies inversely as the square of x. If y = 24 when x =... (answered by Fombitz)

If y varies inversely as the square of x and y = 4 when x = 3, find y when x is... (answered by Cromlix)

If y varies inversely as the square of x and y = 4 when x = 3, find y when x is... (answered by mananth)

if y varies inversely as the square root of x and y=27 when x=9, what is y when x=16?... (answered by ewatrrr)

If y varies inversely as the square of X, and y=16 when x=5, find y when x=2. (answered by josgarithmetic)

y varies inversely as x is squared. Y is 25 when x is 2. Find y when x is... (answered by Alan3354)