Question

Which table shows a proportional relationship?

1# R 5 10 15 20 25
S 1 2 3 4 5

2# X 1 2 3 4 5
Y 4 7 10 13 16

3# B 0 3 5 7 9
C 0 4 8 12 16

4# P 1 3 5 7 9
Q 6 8 10 12 14

Answer 1

number 4 is proportionality relationship

Answer 2

Table N
`1`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In this problem the table N
`1` represent a proportional relationship

Find the value of k

`R/S=k`

For
`R=5, S=1`

substitute

tex]k=5/1=5[/tex]

For
`R=10, S=2`

substitute

`k=10/2=5`

For
`R=15, S=3`

substitute

`k=15/3=5`

For
`R=20, S=4`

substitute

`k=20/4=5`

For
`R=25, S=5`

substitute

`k=25/5=5`

the equation of the proportional relationship is equal to

`R=5S`