Which table has a constant of proportionality between y and x of 1/6?

choose 1 answer.

A: x--15 19&1/2 36
y---5 6 & 1/2 12

B: x--12 13&1/2 24
y---2 3 &1/2 14

C: x--18 27 23
y--3 4&1/2 5&1/2

Plz help this is just way to confusing. :>

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Which table has a constant of proportionality between y and x of 1/6?   (choose 1 answer.)

A:

x--> 15 ---19 --- 36

y--> 5 ---- 6 ---- 12

B:

x--> 12 ---13 --- 24

y--> 2 ---- 3 ---- 14

C:

x--> 18 --- 27 --- 33

y--> 3 ---- 4 ---- 5

Table C has 1/6 as the constant of proportionality between y and x

Step-by-step explanation:

Given

Table A, B, C

Required

To check which of the tables has a constant of proportionality of 1/6

The constant of proportionality is calculated by dividing individual values of y column with x column.

Mathematically, this is represented by

Where k is the constant of proportionality

Recall Table A

x--> 15 ---19 --- 36

y--> 5 ---- 6 ---- 12

When x = 15, y = 5.

The constant of proportionality becomes

--- Simplify fraction to lowest term by dividing by 5

So, when x = 15, y = 5.

is not equal to ; So, we do not need to check further in table A.

Hence, table A does not have 1/6 as the constant of proportionality between y and x

We move to table B

Recall Table B

x--> 12 ---13 --- 24

y--> 2 ---- 3 ---- 14

When x = 12, y = 2.

The constant of proportionality becomes

--- Simplify fraction to lowest term by dividing by 2

We can't conclude yet, if the constant of proportionality between y and x in table B is until we check further

When

The constant of proportionality becomes

--- Convert to decimal

Simplify fraction to lowest term by dividing by 0.5

-- This cannot be simplified any further

is not equal to ; So, we do not need to check further in table B.

Hence, table B does not have 1/6 as the constant of proportionality between y and x

We move to table C

Recall Table C

x--> 18 --- 27 --- 33

y--> 3 ---- 4 ---- 5

When x = 18, y = 3

The constant of proportionality becomes

--- Simplify fraction to lowest term by dividing by 3

We can't conclude yet, if the constant of proportionality between y and x in table C is until we check further

When x = 27,

The constant of proportionality becomes

--- Convert to fraction to decimal

Simplify fraction to lowest term by dividing by 4.5

We still can't conclude until we check further

When x = 33,

The constant of proportionality becomes

--- Convert to fraction to decimal

Simplify fraction to lowest term by dividing by 5.5

Notice that; for every value of x and its corresponding value of y, the constant of proportionality, k maintains as its value

Hence, we can conclude that "Table C has 1/6 as the constant of proportionality between y and x"

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: