Question

✓

For the statement, find the constant of variation and the variation equation.
y varies inversely as the square of x; y = 0.045 when x = 4
The constant of variation k is.
(Type an integer or a decimal.)

Answer 1

k = 0.72

Explanation:

If y varies inversely as the square of x, then we know that the variation equation is:

`y=k/x^2`, where k is the constant of variation.

We can find the constant variation by plugging in 0.045 for y, 4 for x, and solving for k;

`0.045=k/4^2\\0.045=k/16\\0.72=k`