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If y varies inversely with x, and y is 8 when x is 5, find y when x is 2.

User Grych
by
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2 Answers

4 votes

Answer:

  • y=1/x
  • y=k/x
  • k=yx
  • given y=8, x=5
  • k=8×5=40
  • finding y when x=2
  • y=40/2=20ans
User Manoj Sehrawat
by
8.1k points
3 votes

Answer:

y = 20

Explanation:

Given that y varies inversely with x then the equation relating them is

y =
(k)/(x) ← k is the constant of variation

To find k use the condition y = 8 when x = 5, then

k = yx = 8 × 5 = 40

y =
(40)/(x) ← equation of variation

When x = 2, then

y =
(40)/(2) = 20

User Gavin Brock
by
7.8k points

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