If x is inversely proportional to y, and x = 60 when y = 0.5, find x when y = 12.
Answers
Answered by
0
Answer:
Step-by-step explanation:
Let
k
be a constant. Then:
y
=
k
×
1
x
=
k
x
It is given that:
y
=
k
x
→
0.5
=
k
60
Multiply both sides by 60 giving
(
0.5
×
60
)
=
k
×
(
60
60
)
But
60
60
=
1
and
0.5
×
60
=
30
⇒
k
=
30
So the relationship is:
y
=
30
x
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For
y
=
12
we have
12
=
30
x
x
=
30
12
=
2
6
12
→
2
1
2
Answered by
2
Answer:
Step-by-step explanation:
If x is inversely proportional to y, then if x increases, y decreases by same proportion.
Hence, if y increases by (12/0.5=24) times, then x will decrease by 24 times, that is (60/24=2.5).
Hence value of x would be 2.5
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