devinblitz8909 devinblitz8909
  • 02-07-2020
  • Mathematics
contestada

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Respuesta :

walber000 walber000
  • 06-07-2020

Answer:

x2 = 60

Step-by-step explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

[tex]x1 * y1 = k[/tex]

[tex]12 * 15 = k[/tex]

[tex]k = 180[/tex]

Now, we can use the same constant to find x2:

[tex]x2 * y2 = k[/tex]

[tex]x2 * 3 = 180[/tex]

[tex]x2 = 180 / 3 = 60[/tex]

So the value of x2 is 60.

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