Answered

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

Verified Answer :

DarkEnvy

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

calculista

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

\(y=4.5x\)

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