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Sagot :
By using proportionality theorem, the equation that expresses the statement is written as
1) T = kx
2) w = kyz
3) x = ks/t
4) A = kt²/y³
Proportionality
In math, a proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Given,
Here we have to find the equation that expresses the statement by using the k as the constant of proportionality.
Here we know that the value of the constant of proportionality is k.
Then the equation for the statement are,
1- T varies directly as x. And it can be written based on the constant proportionality,
=> T = kx
2- w is jointly proportional to y and z
Then the statement is written as,
=> w = k x y x z
=> w = kyz
3- x is proportional to s and inversely proportional to t.
Here we have to use the inverse proportional to write the statement,
=> x = k x s x 1/t
=> x = ks/t
4- A is proportional to the square of t and inversely proportional to the cube of y
Here first we have to take the square on t, then we get t² and then have to take cube on y, then we get y³,
then the equation is written as,
=> A = kt²/y³
To know more about Proportionality here.
https://brainly.com/question/8598338
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