The numbers x^3 and y^2 are inversely proportional. If x=2 when y=15, what is y if x=1 and y is positive? Write your answer in simplest radical form.
y^2 = k/ x^3
15^2 = k/2^3
225 = k / 8
225 * 8 = k
1800 = k
So
y^2 = 1800 / 1^3
y^2 = 1800 take the positive root
y = √ 1800 = √ [ 100 * 9 * 2 ] = 30√ 2
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