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 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 1 class=

Respuesta :

number 4 is proportionality relationship

Answer:

Table N [tex]1[/tex]

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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem the table N [tex]1[/tex] represent a proportional relationship

Find the value of k

[tex]R/S=k[/tex]

For [tex]R=5, S=1[/tex]

substitute

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

For [tex]R=10, S=2[/tex]

substitute

[tex]k=10/2=5[/tex]

For [tex]R=15, S=3[/tex]

substitute

[tex]k=15/3=5[/tex]

For [tex]R=20, S=4[/tex]

substitute

[tex]k=20/4=5[/tex]

For [tex]R=25, S=5[/tex]

substitute

[tex]k=25/5=5[/tex]

the equation of the proportional relationship is equal to

[tex]R=5S[/tex]

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