Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A direct variation includes the points $(6,90)$ and $(2,n)$ . Find $n$ . Write and solve a direct variation equation to find the answer. $\newline$ n = ____

View step-by-step help

View step-by-step help

Write and solve direct variation equations

Full solution

Q. A direct variation includes the points

(6,90)

and

(2,n)

. Find

n

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

\newline

n = ____

Write formula: Write the direct variation formula. $\newline$ Direct variation: $y = kx$
Find $k$ : Use the point $(6,90)$ to find the constant of proportionality, $k$ . $90 = k \times 6$
Solve for k: Solve for k. $\newline$ $k = \frac{90}{6}$ $\newline$ $k = 15$
Write equation with $k$ : Write the direct variation equation with $k$ . $y = 15x$
Find $n$ : Use the direct variation equation to find $n$ when $x = 2$ . $\newline$ $n = 15 \times 2$ $\newline$ $n = 30$

More problems from Write and solve direct variation equations

Question

(x-3)(a x+4)=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=3

x=-2

, what is the value of

a

Posted 2 months ago

Question

3 x^{2}+a x-5=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=-5

x=\frac{1}{3}

, what is the value of

a

Posted 1 month ago

Question

a x^{2}+5 x+2=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=-2

x=-\frac{1}{2}

, what is the value of

a

Posted 2 months ago

Question

Find the average value of the function

f(x)=\frac{2}{x-11}

x=2

x=8

. Express your answer as a constant times

\ln 3

\newline

\square \ln 3

Posted 3 months ago

Question

6+\frac{4}{a}+\frac{b}{3}

a=4

b=3

Posted 2 months ago

Question

4 x-32 k x=53

\newline

In the given equation,

k

is a constant. The equation has no solution. What is the value of

k

Posted 2 months ago

Question

a_{1}=9

a_{n+1}=2 a_{n}+2

then find the value of

a_{5}

\newline

Posted 3 months ago

Question

a_{1}=4

a_{n}=5 a_{n-1}-n

then find the value of

a_{5}

\newline

Posted 3 months ago

Question

a_{1}=1

a_{n}=n a_{n-1}+4

then find the value of

a_{5}

\newline

Posted 3 months ago

Question

a_{1}=9

a_{n}=n a_{n-1}-2

then find the value of

a_{5}

\newline

Posted 3 months ago