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