The value of y varies inversely with x, and y= 12 when x=-4. find y when x=-2.
6
-6
24
-24
Given that y varies inversely with x, we can write the equation as y = k/x, where k is a constant of variation.
To find the value of k, we can use the initial condition y = 12 when x = -4:
12 = k / (-4)
k = -48
Now that we have the constant of variation, we can find y when x = -2:
y = (-48) / (-2)
y = 24
Therefore, y = 24 when x = -2. The correct answer is 24.