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Y is inversely proportional to x^3 when x=2 ,y=0.5
Find y in terms of x

Sagot :

Phobic111

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

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