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  • 23-04-2021
  • Mathematics
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The variables x and y vary inversely, and y=6 when x=2. Write an equation that relates x and y. Then find y when x = 3

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Leora03
Leora03 Leora03
  • 23-04-2021

Answer:

[tex]y = \frac{12}{x} [/tex]

y= 4

Step-by-step explanation:

Since x and y are inversely proportional to each other,

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k.

When y= 6, x= 2,

[tex]6 = \frac{k}{2} [/tex]

k= 6(2)

k= 12 (×2 on both sides)

Substitute the value of k back into the equation:

[tex]y = \frac{12}{x} [/tex]

When x=3,

[tex]y = \frac{12}{3} [/tex]

y= 4

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