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Byju's Answer
Standard VI
Mathematics
Expressing Relations in Different Ways
y varies inve...
Question
y varies inversely with x. If y = 30 when x = 12, find
(1) y when x = 15
(2) x when y = 18
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Solution
Since, y varies inversely with x.
⇒
y
∝
1
x
⇒
y
=
k
x
,
where
k
is
proportioanlity
constant
.
We have, y = 30 and x = 12,
⇒
30
=
k
12
⇒
k
=
30
×
12
⇒
k
=
360
So
,
y
=
360
x
.
.
.
(
i
)
(1) We have, x = 15
By using equation (i), we get
y
=
360
15
=
24
(2) We have, y = 18
By using equation (i), we get
18
=
360
x
⇒
x
=
360
18
=
20
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