26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.
2 answers:
Answer:
3
Step-by-step explanation:
the initial statement is
y
∝
1
/x
to convert to an equation multiply by k the constant
of variation
y
=
k
×
1
/x
=
k
/x
to find k use the given condition
y
=
5 when x
=
6
y
=
k/
x
⇒
k
=
y
x
=
5
×
6
=
30
y
=
30
/x
when
x
=
10
then
y
=
30
/10
=
3
Answer: y = 3
Step-by-step explanation:
In inverse variation, as one variable increases, the other variable decreases and as one variable decreases, the other increases.
We would introduce a constant of proportionality, k. Therefore,
y = k/x
When y = 5 , x = 6
Therefore,
5 = k/6
Cross multiplying by 6, it becomes
k = 6 × 5 = 30
The expression becomes
y = 30/x
Therefore, when x is 10,
y = 30/10
y = 3
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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