Question

r is inversely proportional to s and directly proportional to the cube of t

Answer 1

The first one, inverse proportion (using k as your constant of variation) takes on the form R = k/s.  The second one, direct proportion, takes on the form R/t^3 =k
I'm not exactly sure what you are asking so that's all the help I can offer.

Answer 2

r is inversely proportional to s and directly proportional to the cube of t is written as r = kt³/s.

What is an expression?

An expression is a mathematical equation which is typically used to show the relationship that exist between two or more numerical quantities such as inverse or direct.

Translating the word problem into an expression, we have:

r ∝ 1/s ∝ t³

r = kt³/s

Note: k is the constant of proportionality.

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