Question

if x and y vary inversely as each other and y=30 , find x when constant of variation=810​

Answer 1

Answer:

Inverse variations look like this:

y

=

k

x

We need to make our own inverse variation given

y

=

6

and

x

=

18

. We can plug this into the standard inverse variation with variables.

y

=

k

x

6

=

k

18

108

=

k

We've determined that

k

=

108

. Now we have what it takes to create an inverse variation. This is our final equation:

y

=

108

x

We still need to find what

y

equals when

x

is

8

. Let's plug in

8

for

x

.

y

=

108

x

y

=

108

8

y

=

13.5