Answer:
y = 4/ x³
Step-by-step explanation:
Y is inversely proportional to x³ can also be written as:
y ∝ 1 / x³
It is given that x = 2 and y = 0.5. The proportional can also be written as:
y = k / x³
In every proportionality, there is a constant, k. Thus using the data given in the question, we can find the value of k and find y in terms of x with the value of the constant.
Substitute the values into the equation.
0.5 = k / (2)³
0.5 = k / 8
k = 0.5 × 8
∴ k = 4
So we can say that,
y = 4 / x³
