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60 POINTS ! BRAINLIEST IF YOU ANSWER NOW
what equation represents the proportional relationship displayed in the table?
x | 2 4 6 8 y 10 20 30 40

Enter your answer in the box to complete the equation.
y = (blank) x

Respuesta :

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Answer:

y=5x

Step-by-step explanation:

The table is given as:

x       |       y

2       |        10

4       |         20

6       |         30

8       |          40

A proportional relation satisfy the relation: [tex]y=kx[/tex]

We can substitute any x value with the corresponding y-value and solve for k.

When x=2,y=10

This implies that:

[tex]10=2k[/tex]

Divide both sides by 2 to get:

[tex]k=5[/tex]

Hence the equation is [tex]y=5x[/tex]

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