Answered

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Determine whether the table represents a linear or nonlinear function.
Select each statement that could be used to justify your answer.

The rate of change is not constant.
The rate of change is not constant.

The y, -values decrease by the same amount.

The y -values decrease by different amounts.

As the x-values increase by 1, the y-values decrease by 15.

The y -values are multiples of 5.

Determine Whether The Table Represents A Linear Or Nonlinear Function Select Each Statement That Could Be Used To Justify Your Answer The Rate Of Change Is Not class=

Sagot :

The function represented by the table is given by the rate of change of

the x and y-values which are constant indicating a  linear function.

Response:

The statement that could be used to justify that the table represents a linear function is as following;

  • The y-values decrease by the same amount

How to determine if a table represents a linear function?

The table of of a linear function is one in which the first difference in

the y-values is constant given that the difference in the x-values are also

constant.

From the table, the first difference between each y-value and the

previous y-value is found as follows;

20 - 35 = -15

5 - 20 = -15

-10 - 5 = -15

While the difference between the corresponding x-values = 1 as follows;

0 - (-1) = 1

1 - 0 = 1

2 - 1 = 1

Therefore;

The (rate of) change in the x and y -values in the table are constant, and

the function is a linear function.

The correct statement is therefore;

  • The y-values decrease by the same amount

Learn more about linear function here:

https://brainly.com/question/20978391

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