If y is inversely proportional x2 and y=38 when x=16 find y if y=14
To solve the problem, we can use the inverse proportion formula:
y = k/x^2
where k is the constant of variation.
We can find the value of k by substituting the given values into the formula:
38 = k/16^2
38 = k/256
k = 38 * 256
k = 9728
Now we can use the value of k to find y when y = 14:
14 = 9728/x^2
To find x^2, we can rearrange the equation:
x^2 = 9728/14
x^2 = 694.857
Taking the square root of both sides, we get:
x = ± √694.857
Since x cannot be negative in this context, we discard the negative solution:
x = √694.857
Therefore, when y = 14, x is approximately equal to √694.857.