The value of y when x= 2401 is -10
How to determine the value of x?
An inverse variation is represented as:
[tex]y = \frac{k}{\sqrt x}[/tex]
Where k is the proportionality constant
When y = -70, x = 49
So, we have:
[tex]-70 = \frac{k}{\sqrt {49}}[/tex]
Take the square root of 49
[tex]-70 = \frac{k}{7}[/tex]
Multiply through by 7
k = -490
Substitute k = -490 in [tex]y = \frac{k}{\sqrt x}[/tex]
[tex]y = -\frac{490}{\sqrt x}[/tex]
When x =2401, we have
[tex]y = -\frac{490}{\sqrt {2401}}[/tex]
Evaluate the square root
[tex]y = -\frac{490}{49}[/tex]
Divide
y = -10
Hence, the value of y when x= 2401 is -10
Read more about variation at:
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