Determine th constant of proportionality (k) for the table and write the relationship between y and x

Question

K=1/7
K=-1/7
K=-7
K=7

Answer 1

The constant of proportionality for a table can be determined by dividing the y value by the corresponding x value.

For example, given the table:

x | y
1 | 1/7
2 | 2/7
3 | 3/7
4 | 4/7

The constant of proportionality is k = 1/7.

Therefore, the relationship between y and x is y = (1/7)x.

If k = -1/7, the relationship between y and x is y = (-1/7)x.

If k = -7, the relationship between y and x is y = -7x.

If k = 7, the relationship between y and x is y = 7x.