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Consider an inverse variation where x=2 when y=-4. Find the value of y when x=12

User Ajamu
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Final answer:

To find the value of y when x=12 for an inverse variation where x=2 when y=-4, use the equation xy=k to get k=-8. Then substitute x=12 into the equation to find y=-2/3.

Step-by-step explanation:

The question is asking for a value of y in an inverse variation where we know that when x=2, y=-4. An inverse variation can be represented by the equation xy=k, where k is a constant. To find k, we substitute the given values of x and y into the equation:

2(-4) = k
k = -8

Now we have the constant of variation and can find the value of y when x=12 using the equation:

(12)y = -8
y = -8/12
y = -2/3

Therefore, when x=12, the value of y in this inverse variation is -2/3.

User Hyeri
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