Question

Q3.

Answer 1

Answer:

x = 12

Step-by-step explanation:

Given x varies as the cube root of y then the equation relating them is

x = k$\sqrt[3]{y}$ ← k is the constant of variation

To find k use the condition x = 6 when y = 8, thus

k = $\frac{x}{\sqrt[3]{y} }$ = $\frac{6}{\sqrt[3]{8} }$ = $\frac{6}{2}$ = 3

x = 3$\sqrt[3]{y}$ ← equation of variation

When y = 64, then

x = 3 × $\sqrt[3]{64}$ = 3 × 4 = 12