Question

# If x varies inversely at the cube root of y and x=1 when y =8 find y when x=3

Answer

8/27

- Q: What is the formula for inverse variation? A: The formula for inverse variation is xy=k, where k is a constant.
- Q: What is the formula for cube root? A: The formula for cube root is y^(1/3).
- Q: What is the equation for x varies inversely at the cube root of y? A: The equation is x*(y^(1/3))=k.
- Q: If x=1 when y=8, what is k? A: k=x*(y^(1/3))=1*(8^(1/3))=2.
- Q: Find y when x=3. A: 3*(y^(1/3))=2, y=((2/3)^3)=8/27.