Answer:
x=3
Step-by-step explanation:
If
y
is inversely proportional to
x
, and if
y
=
6
when
x
=
4
then
y
=
24
x
−−−−−−−
.
Using this formula we find that if
y
=
8
then
x
=
3
−−−−−
Explanation:
Given,
y
is inversely proportional to
x
or
y
∝
x
−
1
this is if and only if
y
∝
1
x
⇔
y
=
1
x
k
Also, we know that if
y
=
6
when
x
=
4
then
6
=
1
4
k
⇔
multiply both sides by
4
24
=
k
this is our constant of proportionality
⇒
this gives us our formula
y
=
24
x
Then consider when
y
=
8
then
8
=
24
x
⇔
multiply both sides by
x
8
x
=
24
⇔
divide both sides by
8
x
=
3
