Question

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

Answer 1

@Nnesha can you help?

Answer 2

do you know the definition of inverse proportion ?

Answer 3

i mean formula*

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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 :)

Answer 8

so is the answer 78?

Answer 9

k equal to what ?

Answer 10

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

\[\color{ReD}{z =2}~~~~\color{blue}{x=3}\]

Answer 11

so then itll be 2=26?

Answer 12

or is it 6?

Answer 13

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

Answer 14

so then its 2=2

Answer 15

how ?

Answer 16

2=6/3
?

Answer 17

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

Answer 18

so 2=6/13?

Answer 19

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

Answer 20

0.461?

Answer 21

yeah or leave it as fraction form

Answer 22

.4615
^round it

Answer 23

0.462

Answer 24

lO_Oks right

Answer 25

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

Answer 26

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

Answer 27

is means equal sign
so z =

Answer 28

so multiply 6x6 and 6x3

Answer 29

6 times 6 ? there is only one 6

Answer 30

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

Answer 31

substitute x,y and z values solve for k

Answer 32

so what do i do first?

Answer 33

substitute x ,y and z values solve for k

Answer 34

im so confused

Answer 35

why ?
what you didn't understand :=)

Answer 36

i substitued and got 10 and 16

Answer 37

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

Answer 38

oh wait no , i got 60 and 24

Answer 39

work ?

Answer 40

k= ?

Answer 41

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

Answer 42

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!

Answer 43

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