Step-by-step explanation:
the initial statement is
r
∝
p
q
t
to convert to an equation multiply by k the constant
of variation
⇒
=
k
to find k use the given condition
6
when
8
,
−
3
and
←
cross-multiplying
×
18
24
4
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
2
−−−−−−−−−
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Answers & Comments
Step-by-step explanation:
the initial statement is
r
∝
p
q
t
to convert to an equation multiply by k the constant
of variation
⇒
r
=
k
p
q
t
to find k use the given condition
r
=
6
when
p
=
8
,
q
=
−
3
and
t
=
3
r
=
k
p
q
t
⇒
k
p
q
=
r
t
←
cross-multiplying
⇒
k
=
r
t
p
q
=
6
×
3
8
×
−
3
=
18
−
24
=
−
3
4
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
r
=
−
3
p
q
4
t
2
2
∣
∣
∣
−−−−−−−−−