If y is inversely proportional to the square of x and y =1/9 when x =4, find y when x = 12?

3 Answers

Kathryn Wright Profile
Kathryn Wright answered

When y is inversely proportional to the square of x, it satisfies the equation

  y = k/x^2

for some constant k. Using the given information, we can find k to be

  k = y*x^2 = (1/9)*4^2 = 16/9



Then when x=12, we have

  y = (16/9)/12^2 = 16/(9*16*9) = 1/81

Oddman Profile
Oddman answered

When y is inversely proportional to the square of x, it satisfies the equation

  y = k/x^2

for some constant k. Using the given information, we can find k to be

  k = y*x^2 = (1/9)*4^2 = 16/9



Then when x=12, we have

  y = (16/9)/12^2 = 16/(9*16*9) = 1/81

John McCann Profile
John McCann answered
Y = 1/X2You can see this is 1/3 as the answer. Equality.

1/9 over 4 = Y/12

4Y = 1/9 * 12

4Y = 4/3

Y = 1/3
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