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HELP PLEASE each statement best explains whether the table represents a linear function or a nonlinear function?
It represents a linear function because its points are on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
t represents a nonlinear function because its points are not on a straight line.

HELP PLEASE each statement best explains whether the table represents a linear function or a nonlinear function It represents a linear function because its poin class=

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luisejr77

Answer: Last option.

Step-by-step explanation:

The equation of a line that passes through the origin is:

[tex]y=mx[/tex]

Where "m" is the slope of the line.

The equation for a Proportional relationship has this form:

[tex]y=kx[/tex]

Where "k" is the Constant of proportionality.

Therefore, the graph of a Proportional relationships is a straight  line that passes through the origin.

As you can observe in the table, the function passes through the origin.

Now,  substitute the point (1,0) into [tex]y=kx[/tex] and solve for  "k" :

[tex]0=k(1)\\\\k=0[/tex]

Repeat the procedure and substitute the point (2,4) into the equation and solve for "k":

[tex]4=k(2)\\\\k=2[/tex]

Since "k" is not constant, the points given in the table are not on a straight line and, therefore, it represents a nonlinear function.

Answer:

A linear function has a constant additive rate of change.

A nonlinear function does not have a constant additive rate of change.

The graph of a linear function is a straight line, while a nonlinear graph is curved.

The dependent variable in a linear table has a constant additive rate of change as the independent variable increases by 1.

Step-by-step explanation:

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