If x varies directly as y3 and x = 2 when y = 1, find x when y = 5

If x varies directly as y3 and x = 2 when y = 1, find x when y = 5

Answer Details

x $\alpha$ y3
x = ky3
k = $\frac{x}{y^3}$
when x = 2, y = 1
k = 2
Thus x = 2y3 - equation of variation
= 2(5)3
= 250