Respuesta :
The formula for y in terms of x is y = 3/x³.
Inversely Proportional:
When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.
So, it can be written as,
y = k/x
where,
y is inversely proportional to x and k is the constant of proportionality.
Given,
Y is inversely proportional to the cube of x.
Here we need to find the formula for y in terms of x.
We know that, y is inversely proportional to the cube of x.
So, it can be written as
=> y = k / x³
Where k is the constant.
To find the formula of y,
First we need to find the value of k,
By applying the value of x and y,
So,
=> 24 = k / (1/2)³
=> 24 = k / 1/8
=> 24/8 = k
=> k = 3
Therefore, the formula for y in terms of x is,
=> y = 3/ x³
To know more about Inversely Proportion Problems here.
https://brainly.com/question/14318761
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