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enot [183]
3 years ago
8

Y is inversely proportional to V1+x. When x = 8, y = 2. Find y when x = 15.

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to \sqrt{1+x} , then the equation relating them is

y = \frac{k}{\sqrt{1+x} } ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = \frac{k}{\sqrt{1+8} } = \frac{k}{\sqrt{9} } = \frac{k}{3} ( multiply both sides by 3 )

6 = k

y = \frac{6}{\sqrt{1+x} } ← equation of proportion

When x = 15 , then

y = \frac{6}{\sqrt{1+15} } = \frac{6}{\sqrt{16} } = \frac{6}{4} = \frac{3}{2} = 1.5

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