marcysydnor17
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Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.

z varies jointly as the square of x and the 5th power of y.

Respuesta :

Answer :

  • z = k*x^2*y^5

Explanation :

The mathematical model for the statement 'z varies jointly as the square of x and the 5th power of y' with k as the constant proportionality would be ,

  • z = k*x^2*y^5

here ,it depicts the direct proportionality of z with the square of x and the 5th power of y .

msm555

Answer:

[tex] z = k \cdot x^2 \cdot y^5 [/tex]

Step-by-step explanation:

When we say that z varies jointly as the square of x and the 5th power of y , it means that z is directly proportional to the product of the square of x and the 5th power of y .

Mathematically or in mathematical model, we can represent this as:

[tex] \Large \boxed{\boxed{ z = k \cdot x^2 \cdot y^5 }}[/tex]

where,

  • k is the constant of proportionality.

This equation expresses the joint variation of z with the square of x and the 5th power of y .

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