Question

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

Answer 1

Answer:

$M^{2}=3.2$

Step-by-step 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

$10*M^{2}=32$

$M^{2}=3.2$