The variable Z is inversely proportional to X. When X is 3, Z has the value 2.
What is the value of Z when X = 13

- anonymous

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- anonymous

@Nnesha can you help?

- Nnesha

do you know the definition of inverse proportion ?

- Nnesha

i mean formula*

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## More answers

- anonymous

i know to do it , its just the decimals get me confused. 2/3 is what? then whatver that is i just multiply it by 13

- insa

As z is inversely proportional to x. Then z=k/x substitute the values of z and k and find the value of k

- Nnesha

you don't have to divide
Z = k/ z substitute z and k values
and x is dividing by k so you need to do opposite of division

- insa

After finding the value of k, let z=k/x. Then substitute the value of k u found and the other value of k, solve it further and you'll get the answer :)

- anonymous

so is the answer 78?

- Nnesha

k equal to what ?

- Nnesha

k is constant of variation first you need to solve for k \[\huge\rm \color{reD}{z}=\frac{ k }{ \color{blue}{x} }\]
\[\color{ReD}{z =2}~~~~\color{blue}{x=3}\]

- anonymous

so then itll be 2=26?

- anonymous

or is it 6?

- Nnesha

yes k=6 now use the same formula
substitute k and z values solve for z

- anonymous

so then its 2=2

- Nnesha

how ?

- anonymous

2=6/3
?

- Nnesha

no you need to find z when x =13 this is 2nd part
so substitute 13 for x

- anonymous

so 2=6/13?

- Nnesha

no u need to find z so it should be z =6/13

- anonymous

0.461?

- Nnesha

yeah or leave it as fraction form

- Nnesha

.4615
^round it

- anonymous

0.462

- Nnesha

lO_Oks right

- anonymous

i need one more The variable Z is directly proportional to X, and inversely proportional to Y. When X is 6 and Y is 3, Z has the value 6.
What is the value of Z when X = 10, and Y = 8

- Nnesha

directly proportional = y =kx multiply k with x
inverse = y = k/x divide k by x
so translate that into the equation

- Nnesha

is means equal sign
so z =

- anonymous

so multiply 6x6 and 6x3

- Nnesha

6 times 6 ? there is only one 6

- Nnesha

The variable Z is directly proportional to X
z= kx
and 2nd part is inversely proportional to Y
so z =kx/y

- Nnesha

substitute x,y and z values solve for k

- anonymous

so what do i do first?

- Nnesha

substitute x ,y and z values solve for k

- anonymous

im so confused

- Nnesha

why ?
what you didn't understand :=)

- anonymous

i substitued and got 10 and 16

- Nnesha

so how did you get 10 please show your work so i can figure t out ur mistake :=)

- anonymous

oh wait no , i got 60 and 24

- Nnesha

work ?

- Nnesha

k= ?

- anonymous

all i did was multiply 10 by 6 and 8 by 3

- Nnesha

When X is 6 and Y is 3, Z has the value 6. this is first part
you need to find k value first ALWAYS!

- Nnesha

substitute x for 6
y for 3
z for 6 solve for k

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