Question

Which relationship shows an inverse variation?
x: 2,3,4,5
f(x):1,4,9,16

x:1,2,3,4
f(x):2,8,18,32

x:1,2,3,4
f(x):4,3,2,1

X:2,4,6,8
f(x):12,6,4,3

Answer 1

I think inverse variation is

1/x

Answer 2

c*(1/x)

Answer 3

Just like last time plug in your numbers lets try first one

x: 2,3,4,5
f(x):1,4,9,16

btw c*(1/x) = c/x :) same thing

c/2=1 Multiply both sides by 2 you get c=2
---- now we have formula
2/x =f(x) and we plug in 3 4 and 5 should be

4 9 16
2/3

right away t's not A :(

Answer 4

ok i got you so far

Answer 5

Lets do B

x:1,2,3,4
f(x):2,8,18,32

c/x=y btw y=f(x) so c/x=f(x) same thing

c/1=2 multiply by 1
c=2

2/x = f(x)

f(2)=2/2=1 not 8 so it's not B either

Answer 6

ok i follow so far
i think its c am i right

Answer 7

now for C

x:1,2,3,4
f(x):4,3,2,1

c/x=y

c/1=4 again just multiply by your current x :)
c=4

f(2)=4/2=2 not 3 so it is not C either should be D but lets double check to make sure.

Answer 8

X:2,4,6,8
f(x):12,6,4,3

c/x=y

c/2=12
c=24

f(x)=24/x

f(4)=24/4=6 checks out and so should the rest :D

it's D