Question

if x and y vary inversely and x=32 where y=9 then find x when y=48​

Answer 1

Answer:

The answer is 6

Step-by-step explanation:

Given,

x varies inversely as y

x=32 y=9

xy=k

32×9=288

A/Q,

x×48=288

x=288/48

x=6

Hope it will help

Answer 2

Answer:

2

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.

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