Mika wrote the table of points below.
Which explains whether or not Mika has described a proportional relationship, and why?
Mika has described a proportional relationship because the ordered pairs are linear and the line passes through the origin
Mika has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Mika has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Mika has described a proportional relationship because the line does not pass through the origin.

The proportional relationship is correct.

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Step-by-step explanation:

The given table is

Assume that y is proportional to x so that the linear relation is

y = a + b*x

where a and b are constants.

When x=0, y=2, therefore

a + b*0 = 2   => a = 2

So, y = 2 + bx

When x=3, y=5, therefore

2 + b*3 = 5  => 3b = 5-2 = 3  => b = 1.

So, y = 2 + x

If the assumed relationship is correct, then y should be 8  when x=6.

When x=6, obtain

y = 2 + 6 = 8

This is correct, therefore the assumed proportional relation is correct. A graph of y = 2 + x (shown below) confirms the answer.

step-by-step explanation: