x is directly proportional to y and is inversely proportional to the cube of z.
x=k*y
y= c/z^3
so x= constant/z^3
Is that your question?
To determine the relationship between variables x, y, and z, we need to understand the concepts of direct proportion and inverse proportion.
Direct proportion: When two variables are directly proportional, it means that as one variable increases, the other variable also increases in the same proportion. In mathematical terms, if x is directly proportional to y, it can be expressed as x = ky, where k is a constant.
Inverse proportion: When two variables are inversely proportional, it means that as one variable increases, the other variable decreases in the same proportion. In mathematical terms, if x is inversely proportional to the cube of z, it can be expressed as x = k/z^3, where k is a constant.
Combining both the direct and inverse proportional relationships, we can express the relationship between x, y, and z as follows:
x = ky/z^3
where k is a constant that depends on the specific values and units of x, y, and z.