Question

If k is the constant of proportionality, then the equation for the statement x varies inersely to fifth power of y is

Answer 1

Answer: If k is the constant of proportionality, then the equation for the statement x varies inersely to fifth power of y is X = k ÷ y^5

Answer 2

Given: x varies inversely to the fifth power of y.

To find: the equation for the statement.

Step-by-step explanation:

Step 1 of 1

In inverse relation, two values are inversely related. That is if one value increases the other decreases, or vice versa.

It can be represented as: x ∝   $\frac{1}{y}$

x is inversely related to the fifth power of y so it can be written as:

x ∝   $\frac{1}{y^{5} }$

When the proportionality sign is removed, a constant of proportionality occurs, so the equation becomes:

$x=k\frac{1}{y^{5} }\\\\x=ky^{-5}$

The equation is $x=ky^{-5}$