if y various inversely as x, and y=154 when x=12,find y when x=33
Answers
Answered by
15
Answer:
As
x
and
y
are inversely proportional, the equation can be represented as
x
=
k
y
.
Substituting
x
=
2
and
y
=
12
, we get
2
=
k
12
=>
k
=
12
⋅
2
=>
k
=
24
.
Equation can be represented as
x
=
24
y
. So, when
y
=
6
, we get
x
=
24
6
=>
x
=
4
Step-by-step explanation:
Write as an inverse proportion first then make an equation by multiplying by k,
y
∝
1
x
⇒
y
=
k
x
k
=
x
×
y
Find the value of k.
k
=
2
×
12
=
24
y
=
24
x
⇒
y
=
24
6
y
=
4
You can now find any value of y or x if you are given the x or the y value.
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