Question

The table shows a proportional relationship.

x y
0 0
2 9
4 18
6 27

Complete the equation that represents the table.

Enter your answer as a decimal in the box. y =___x

Answer 1

y=4.5x because 0/4.5=0, 9/2=4.5 18/4=4.5, and 27/6=4.5

Answer 2

Answer:

$y=4.5x$

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 $y=kx$

Find the value of the constant of proportionality in the table

For $x=2, y=9$ ------>$k=9/2=4.5$  

For $x=4, y=18$ ------>$k=18/4=4.5$  

For $x=6, y=27$ ------>$k=27/6=4.5$

therefore

the equation of the direct variation is equal to

$y=4.5x$