Question

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

Answer 1

the answer is D.64

Explain i have the test myself

Answer 2

The constant of proportionality when y varies inversely with the square root of x and y = 16 when x = 4 is 32.

y varies inversely with the square root of x, we can write the relationship as:
`y = k /\sqrt{x`

y = 16 when x = 4.

Plugging these values into the equation:

16 = k /
`√(4)`

16 = k / 2

16 * 2 = k

k = 32

Therefore, the constant of proportionality when y varies inversely with the square root of x and y = 16 when x = 4 is 32.