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

Which table shows a proportional relationship? 1R 5 10 15 20 25 S 1 2 3 4 5 2X 1 2 3 4 5 Y 4 7 10 13 16 3B 0 3 5 7 9 C 0 4 8 12 16 4P 1 3 5 7 9 Q 6 8 10 12 14 class=

Verified Answer :

number 4 is proportionality relationship

Answer:

Table N \(1\)

Step-by-step 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

\(R=5S\)