Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which equation describes this relationship? Remember to include $k$ , the constant of variation. $\newline$ $a$ varies jointly with $b$ and $c$ $\newline$ Choices: $\newline$ (A) $a = \frac{k}{bc}$ $\newline$ (B) $a = kbc$ $\newline$ (C) $a = \frac{kc}{b}$ $\newline$ (D) $a = \frac{kb}{c}$

View step-by-step help

View step-by-step help

Write joint and combined variation equations II

Full solution

Q. Which equation describes this relationship? Remember to include

k

, the constant of variation.

\newline

a

varies jointly with

b

and

c

\newline

Choices:

\newline

(A)

a = \frac{k}{bc}

\newline

(B)

a = kbc

\newline

(C)

a = \frac{kc}{b}

\newline

(D)

a = \frac{kb}{c}

Identify Joint Variation: Joint variation means $a$ is directly proportional to both $b$ and $c$ , so the equation is $a = k \times b \times c$ .
Choose Correct Equation: Looking at the choices, the correct equation that represents this relationship is $(B) a = kbc$ .

More problems from Write joint and combined variation equations II

Question

In a direct variation,

y=15

x=5

. Write a direct variation equation that shows the relationship between

x

y

. Write your answer as an equation with

y

first, followed by an equals sign.

Posted 9 months ago

Question

In an inverse variation,

y = 4

x = 6

. Write an inverse variation equation that shows the relationship between

x

y

. Write the equation using a decimal or an integer.

\_\_\_\_

Posted 8 months ago

Question

z

varies directly with

y

and inversely with

x

y = -12

x = -4

z = -36

. What is the equation of variation? Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions. Remember to include the value of

k

, the constant of variation, in exact form.

\newline

\ z

Posted 9 months ago

Question

Which equation describes this relationship? Remember to include

k

, the constant of variation.

a

varies directly with

b

and inversely with

c

d

\newline

\newline

\[[A]a = \frac{kb}{cd}\]

\newline

\[[B]a = \frac{kbd}{c}\]

\newline

\[[C]a = \frac{k}{bcd}\]

\newline

\[[D]a = \frac{kd}{bc}\]

Posted 9 months ago

Question

z

varies directly with

y

and inversely with

w

x

y = 12

w = 8

x = –5

z = –3

. What is the value of

k

, the constant of variation?

\newline

Write your answer in the form

A

\frac {(A)}{(B)}

A

B

are constants or variable expressions.

\newline

Posted 9 months ago

Question

Given the substitutions

\ln 2=a, \ln 3=b

\ln 5=c

, find the value of

\ln \left(\frac{e}{3}\right)

a, b

c

\newline

Posted 9 months ago

Question

Square VWXY is dilated by a scale factor of

6

V^{\prime} W^{\prime} X^{\prime} Y^{\prime}

. Side W'X' measures

12

. What is the measure of side WX?

\newline

Posted 9 months ago

Question

b

in the proportion.

\newline

\begin{array}{l}\frac{10}{8}=\frac{b}{12} \\b=\square\end{array}

Posted 6 months ago

Question

In a direct variation,

y = 4

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

Posted 6 months ago

Question

In a direct variation,

y = 18

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

Posted 6 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant