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

Question

asked Oct 15, 2022 223k views

2 Answers

Travis Hobrla · Answer 1 · 2022-10-19T09:14:21+0000

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.