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

1 Answer

1 vote

Answer:


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

User Suresh Chaudhary
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