Question

If y varies inversely as x and y = 9 when x = 4, find y when x = 6.

Answer 1

Answer: x

=

6

Explanation:

the initial statement is

x

∝

1

y

to convert to an equation multiply by k the constant

of variation

⇒

x

=

k

×

1

y

=

k

y

to find k use the given condition

x

=

4

when

y

=

9

x

=

k

y

⇒

k

=

x

y

=

4

×

9

=

36

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

x

=

36

y

2

2

∣

∣

∣

−−−−−−−−−−−−

when

y

=

6

then

x

=

36

6

=

6

Step-by-step explanation: