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Ipatiy [6.2K]
2 years ago
15

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

Mathematics
1 answer:
Dahasolnce [82]2 years ago
4 0

The value of y when x= 2401 is -10

<h3>How to determine the value of x?</h3>

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

#SPJ1

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