Question

12. If 'X' varies inversely as y+2 and x=8 when y 2.5, find x when y 4"​

Answer 1

Answer: The statement is expressed as  

y

∝

1

x

inverse means  

1

variable

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

y

=

k

×

1

x

⇒

y

=

k

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

∣

∣

∣

−−−−−−−−−−−−  

x

=

16

→

y

=

32

16

⇒

y

=

2

when  

x

=

16

Step-by-step explanation: