Which table shows a proportional relationship between x and y ?

Table 2 shows a proportional relationship between x and y.

Step-by-step explanation:

We are given four options with table

Table 1:

x    : 0    1     2

y    : 4    8    12

Now we make equation of given table.

This is linear relation not proportional.

Table 2: (TRUE)

x    : 1     2    3

y    : 4    8    12

Now we make equation of given table.

This is a proportional equation. Because y is proportional to x with constant of proportionality 4.

Table 3:

x    : 0    1     2

y    : 0    1    4

Now we make equation of given table.

This is quadratic

Table 4:

x    : 1     2    3

y    : 2    4    8

Now we make equation of given table.

This is exponential function.

Thus, Table 2 shows a proportional relationship between x and y.

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)