Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

y is inversely proportional to
q.
When
y=3,q=2
Find a formula connecting
y and
q.

y=theta
Submit Answer

$y$ is inversely proportional to $q$ . $\newline$ When $y=3, q=2$ $\newline$ Find a formula connecting $y$ and $q$ . $\newline$ $y=\theta$ $\newline$ Submit Answer

View step-by-step help

View step-by-step help

Write and solve inverse variation equations

Full solution

Q.

y

is inversely proportional to

q

.

\newline

When

y=3, q=2

\newline

Find a formula connecting

y

and

q

.

\newline

y=\theta

\newline

Submit Answer

Understand Relationship: Step $1$ : Understand the relationship between $y$ and $q$ . $\newline$ Since $y$ is inversely proportional to $q$ , the relationship can be expressed as $y = \frac{k}{q}$ where $k$ is a constant.
Find Constant: Step $2$ : Use the given values to find $k$ . Substituting $y = 3$ and $q = 2$ into the equation $y = \frac{k}{q}$ gives $3 = \frac{k}{2}$ .
Solve for k: Step $3$ : Solve for k. $\newline$ Multiplying both sides by $2$ to isolate $k$ , we get $3 \times 2 = k$ , so $k = 6$ .
Write Formula: Step $4$ : Write the formula connecting $y$ and $q$ . Substituting $k = 6$ back into the inverse proportionality equation, we get $y = \frac{6}{q}$ .

More problems from Write and solve inverse variation equations

Question

In a direct variation,

y = 6

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 2 months ago

Question

y

varies directly with

x

y = 12

x = 6

y

x = 4

\newline

Write and solve a direct variation equation to find the answer.

\newline

y =

Posted 1 month ago

Question

Which equation shows inverse variation?

\newline

\newline

(\frac{x}{36}) = y

\newline

yx = -74

Posted 2 months ago

Question

y

varies inversely with

x

y = 1

x = 4

y

x = 2

\newline

Write and solve an inverse variation equation to find the answer.

\newline

y =

Posted 1 month ago

Question

What is the value of

\frac{x^{2}}{y^{4}}

x=8

y=2

Posted 10 days ago

Question

(x+4)(2 x-a)=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=4

x=-4

, what is the value of

a

Posted 2 months ago

Question

(2 x+5)(-m x+9)=0

\newline

In the given equation,

m

is a constant. If the equation has the solutions

x=-\frac{5}{2}

x=\frac{3}{2}

, what is the value of

m

Posted 2 months ago

Question

(4 x+3)-(5 x-7)=a x+b

\newline

In the given equation,

b

is a constant. What is the value of

b

Posted 1 month ago

Question

y=\frac{29}{8} x-\frac{2}{3}

\newline

The given equation is graphed in the

x y

-plane. What is the slope of the line?

Posted 1 month ago

Question

a t^{2}+\frac{7}{2} t-4=0

\newline

The given equation has solutions at

t=-8

t=1

. What is the value of the constant

a

Posted 1 month ago