Question

If Y varies as the inverse of the square of X. Y is 1½ when X = 4, find the value of Y when X = ¼.

Answer 1

Answer:

Step-by-step explanation:

The statement is expressed as  

y

∝

1

x

inverse means  

1

variable

To convert to an equation introduce k, the constant of variation.

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is    

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

32

x

2

2

∣

∣

∣

−−−−−−−−−−−−