Which equation describes this relationship? Remember to include k, the constant of variation. z varies inversely with x and y Choices: (A)z = k/xy (B)z = kx/y (C)z = kxy (D)z = ky/x

Identify equation form: Since z varies inversely with both x and y, the equation should have z on one side and the product of x and y in the denominator on the other side. Determine correct equation form: The correct form for an equation where z varies inversely with x and y is z = k/(xy), where k is the constant of variation. Match equation form with choices: Looking at the choices, (A)z = k/xy matches the form we need for an inverse variation with both x and y.

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Which equation describes this relationship? Remember to include $k$ , the constant of variation. $\newline$ $z$ varies inversely with $x$ and $y$ $\newline$ Choices: $\newline$ (A) $z = \frac{k}{xy}$ $\newline$ (B) $z = \frac{kx}{y}$ $\newline$ (C) $z = kxy$ $\newline$ (D) $z = \frac{ky}{x}$

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Math Problems

Algebra 2

Write joint and combined variation equations II

Full solution

Q. Which equation describes this relationship? Remember to include

k

, the constant of variation.

\newline

z

varies inversely with

x

and

y

\newline

Choices:

\newline

(A)

z = \frac{k}{xy}

\newline

(B)

z = \frac{kx}{y}

\newline

(C)

z = kxy

\newline

(D)

z = \frac{ky}{x}

Identify equation form: Since $z$ varies inversely with both $x$ and $y$ , the equation should have $z$ on one side and the product of $x$ and $y$ in the denominator on the other side.
Determine correct equation form: The correct form for an equation where $z$ varies inversely with $x$ and $y$ is $z = \frac{k}{xy}$ , where $k$ is the constant of variation.
Match equation form with choices: Looking at the choices, $(A)z = \frac{k}{xy}$ matches the form we need for an inverse variation with both $x$ and $y$ .