Question

If y is inversely proportional to the square root of x and y=−70 when x=49, find y if x=2401.

Answer 1

The value of y when x= 2401 is -10

How to determine the value of x?

An inverse variation is represented as:

$y = \frac{k}{\sqrt x}$

Where k is the proportionality constant

When y = -70, x = 49

So, we have:

$-70 = \frac{k}{\sqrt {49}}$

Take the square root of 49

$-70 = \frac{k}{7}$

Multiply through by 7

k = -490

Substitute k = -490 in $y = \frac{k}{\sqrt x}$

$y = -\frac{490}{\sqrt x}$

When x =2401, we have

$y = -\frac{490}{\sqrt {2401}}$

Evaluate the square root

$y = -\frac{490}{49}$

Divide

y = -10

Hence, the value of y when x= 2401 is -10

Read more about variation at:

brainly.com/question/14254277

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