Question

Find the constant of proportionality for the table and write in the form y = kx.

A) y = 1/6x
B) y = 6x
C) y = 7x
D) y = 42x

Answer 1

A is the correct answer.

Answer 2

The constant of proportionality for the table will be: k=6

Thus, the equation becomes

`y=kx`

• 
  `y=6x`

Explanation:

The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.

We know the equation

`y=kx`

where k is the constant of proportionality.

Looking at the graph,

at x=7, the value of y=42

so the ratio of y/x = 42/7 = 6

at x=14, the value of y=84

so the ratio of y/x = 84/14 = 6

at x=21, the value of y=126

so the ratio of y/x = 126/21 = 6

at x=28, the value of y=168

so the ratio of y/x = 168/28 = 6

We observe that the ratio of y/x remains constant which y/x=6

so using the equation

`y=kx`

take any point let say (7, 42)

42 = k(7)

42/7=k

6 = k

Therefore, the constant of proportionality for the table will be: k=6

Thus, the equation becomes

`y=kx`

`y=6x`