Question

If y varies inversely as the square root of x, what is the constant of proportionality if
y = 16 and x = 4?

Answer 1

Answer:

x² I believe never heard it worded this way school is difficult

Step-by-step explanation:

(4,16)

(the only way to cancel a square root is to square it hence the x²)

Answer 2

The constant of proportionality will be k=32 if y varies inversely as the square root of x.

What is proportionality?

The fact of a variable quantity having a constant ratio to another quantity is defined as the constant of proportionality.

Here we have a equation.

$y$    ∝      $\dfrac{1}{\sqrt{x}}$

$y=k\dfrac{1}{\sqrt{x}}$

We have y=16 and x=4

By putting the values

$16=k\dfrac{1}{\sqrt{4}}\\\\\\\k=16\times \sqrt{4}=16\times 2=32$

Hence the constant of proportionality will be k=32 if y varies inversely as the square root of x.

To know more about Proportionality follow

https://brainly.com/question/24868934

#SPJ2