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,

x  :  2,4,6,8

f(x) :12,6,4,3

This table represents the relationship of an inverse variation.

Step-by-step explanation:

We are asked to find which relationship shows an inverse variation.

Inverse variation means that there exist a constant 'k' such that:

f(x)=k/x

or, k=x·f(x)

1)

x  :   2, 3, 4, 5

f(x):  1,  4, 9, 16

if x=2 and f(x)=1

k=2

but if x=3 and f(x)=4

we get: k=12.

Hence, we do not obtain a same constant k.

2)

x:   1,2,3,4

f(x):2,8,18,32

when x=1 , f(x)=2

⇒ k=2

when x=2 , f(x)=8

⇒ k=16

Hence, we did not get a same constant 'k'.

3)

x:  1,2,3,4

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

when x=1, f(x)=4

⇒ k=4

when x=2 , f(x)=3

⇒ k=6

Hence, we did not get a same constant 'k'.

4)

x  :2,4,6,8

f(x) :12,6,4,3

when x=2 f(x)=12

⇒ k=2×12=24

when x=4  f(x)=6

⇒ k=4×6=24

when x=6    f(x)=4

⇒   k=6×4=24

when x=8   f(x)=3

⇒  k=8×3=24

Hence, we get a constant 'k=24' for all the values of x.

Hence, option: 4 shows relationship of an inverse variation.

x  :2,4,6,8

f(x) :12,6,4,3

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

4x and 6y

im not sure though