k
=
2
Explanation:
when z varies directly proportional to x means a division
c
=
z
x
where c is a constant of proportionality
when z varies inversely proportional to x it means a product
z
y
=
c
now with both
k
=
z
y
x
z
=
8
;
x
=
12
and
y
=
3
k
=
8.3
12
k
=
2
Answer link
Jim G.
Nov 13, 2017
k
=
2
Explanation:
the initial statement is
z
∝
x
y
to convert to an equation multiply by k the constant
of variation
⇒
z
=
k
×
x
y
=
k
x
y
to find k use the given condition
z
=
8
when
x
=
12
and
y
=
3
z
=
k
x
y
⇒
k
=
y
z
x
=
3
×
8
12
=
24
12
=
2
Answer link
