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

Identify Inverse Variation: z varies inversely with w, x, and y means z = k/(wxy), where k is the constant of variation. Analyze Answer Choices: Looking at the choices, we need to find the one that matches the form z = k/(wxy). Eliminate Incorrect Forms: Choice (A) is z = kw/xy, which is not the correct form because it suggests z varies directly with w, which is wrong. Choose Correct Form: Choice (B) is z = ky/wx, which is also not the correct form because it suggests z varies directly with y, which is wrong. Choice (C) is z = kwy/x, which is not the correct form because it suggests z varies directly with w and y, which is wrong. Choice (D) is z = k/wxy, which is the correct form because it shows z varies inversely with w, x, and y.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

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

w

x

, and

y

\newline

Choices:

\newline

(A)

z = \frac{k}{wxy}

\newline

(B)

z = \frac{ky}{wx}

\newline

(C)

z = \frac{kwy}{x}

\newline

(D)

z = \frac{k}{wxy}

Identify Inverse Variation: $z$ varies inversely with $w$ , $x$ , and $y$ means $z = \frac{k}{wxy}$ , where $k$ is the constant of variation.
Analyze Answer Choices: Looking at the choices, we need to find the one that matches the form $z = \frac{k}{wxy}$ .
Eliminate Incorrect Forms: Choice (A) is z = rac{k w}{x y}, which is not the correct form because it suggests $z$ varies directly with $w$ , which is wrong.
Choose Correct Form: Choice (B) is $z = \frac{k y}{w x}$ , which is also not the correct form because it suggests $z$ varies directly with $y$ , which is wrong.
Choose Correct Form: Choice (B) is $z = \frac{k y}{w x}$ , which is also not the correct form because it suggests $z$ varies directly with $y$ , which is wrong. Choice (C) is $z = \frac{k w y}{x}$ , which is not the correct form because it suggests $z$ varies directly with $w$ and $y$ , which is wrong.
Choose Correct Form: Choice (B) is $z = \frac{k}{y}/wx$ , which is also not the correct form because it suggests $z$ varies directly with $y$ , which is wrong. Choice (C) is $z = \frac{kwy}{x}$ , which is not the correct form because it suggests $z$ varies directly with $w$ and $y$ , which is wrong. Choice (D) is $z = \frac{k}{wxy}$ , which is the correct form because it shows $z$ varies inversely with $w$ , $z$ $0$ , and $y$ .