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pshichka [43]
2 years ago
9

Y ∝ 1 √ x If y = 4 when x = 64 find, y when x = 16

Mathematics
1 answer:
julia-pushkina [17]2 years ago
7 0

Given:

y\propto \dfrac{1}{\sqrt{x}}

y = 4 when x = 64

To find:

The value of y when x=16.

Solution:

We have,

y\propto \dfrac{1}{\sqrt{x}}

y=\dfrac{k}{\sqrt{x}}           ...(i)

Where, k is the constant of proportionality.

We have, y = 4 when x = 64.

4=\dfrac{k}{\sqrt{64}}

4=\dfrac{k}{8}

4\times 8=k

32=k

Putting k=32 in (i), we get

y=\dfrac{32}{\sqrt{x}}

Putting x=16, we get

y=\dfrac{32}{\sqrt{16}}

y=\dfrac{32}{4}

y=8

Therefore, the value of y is 8 when x=16.

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