Question

If P varies inversely as M2, and P= 8, while M=2, find M2 when P=10

Answer 1

`M^(2)=3.2`

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

In this problem we have

`P*M^(2)=k`

step 1

Find the value of k

For P=8, M=2

substitute

`k=(8)(2)^(2)=32`

The equation is equal to

`P*M^(2)=32`

step 2

Find the value of M²

when P=10

substitute the value of P in the equation

`10*M^(2)=32`

`M^(2)=3.2`