Question

If x varies inversely as y and x = 10 when y = 8, then find y when x = 4.(Hint: answer is y=20)
please tell me in process ​

Answer 1

Step-by-step explanation:

x

=

5

Explanation:

the initial statement is

y

∝

1

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

×

1

x

=

k

x

to find k use the given condition

y

=

10

when

x

=

4

y

=

k

x

⇒

k

=

y

x

=

10

×

4

=

40

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

40

x

2

2

∣

∣

∣

−−−−−−−−−−−−

when

y

=

8

x

=

40

y

=

40

8

=

5