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Drupady [299]
2 years ago
10

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.
Mathematics
2 answers:
Ede4ka [16]2 years ago
7 0
Please I’m I right ??

Alexeev081 [22]2 years ago
4 0

Answer:

<u>y = 1</u>

Step-by-step explanation:

<u>Given</u>

  • y ∝ x⁴

⇒ y = kx⁴

<u>Finding the proportionality constant, k</u>

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

<u>Finding y</u>

  • y = 1/81 x (3)⁴
  • y = 1/81 x (81)
  • <u>y = 1</u>
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