Question

A varies inversely as the square of B and A is 1 when B is 3. The value of B when A is 3 is?

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Answer 1

Answer:

Explanation:

This is an example of inverse proportion, or inverse variation.

To change a proportion into an equation, multiply by a constant and then use the values given to find the value of the constant.

a

∝

1

b

⇒

a

=

k

b

⇒

k

=

a

b

Find the value of k, using the a and b given.

k

=

3

×

4

=

12

So,

a

=

12

b

can also be written as

b

=

12

a

When

a

=

48

,

b

=

12

48

=

1

4