Answer :
Answer:
Step-by-step explanation:
In inverse variation, as increase in the value of variable causes a corresponding decrease in the value of the other variable and a decrease in the value of that variable causes a corresponding increase in the value of the other variable.
Since y varies inversely as the square of x, we would introduce k, the constant of variation. It becomes
y = k/x
When x = 4, y = 144
Therefore
144 = k/4
k = 4 × 144 = 576
The expression becomes
y = 576/x
Therefore, when x = 12,
y = 576/12 = 48
Answer:
48
Step-by-step explanation:
y varies inversely as the square of x
y ∝ 1/x
y =k/x
yx=k k is the unit of constant
y=144, x=4
144x4 = k = 576
the constant k is 576 when y =144 and x=4
to find y when x=12
y =k/x= 576/12 = 48