Question

Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to two decimal places if necessary.

Answer 1

y = 1

Explanation:

Given

• y ∝ x⁴

⇒ y = kx⁴

Finding the proportionality constant, k

• y = 16 and x = 3
• 16 = k (6)⁴
• 16 = 1296k
• k = 16/1296
• k = 1/81

Finding y

• y = 1/81 x (3)⁴
• y = 1/81 x (81)
• y = 1

Answer 2

Please I’m I right ??