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Which of the following tables could represent linear functions? (a) x 0 1 2 3 y 27 25 23

Chapter 1, Problem 14

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QUESTION:

Which of the following tables could represent linear functions? (a) x 0 1 2 3 y 27 25 23 21 (b) t 15 20 25 30 s 62 72 82 92 (c) u 1 2 3 4 w 5 10 18 28 1

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QUESTION:

Which of the following tables could represent linear functions? (a) x 0 1 2 3 y 27 25 23 21 (b) t 15 20 25 30 s 62 72 82 92 (c) u 1 2 3 4 w 5 10 18 28 1

ANSWER:

Step 1 of 3

Given

x

0

1

2

3

y

27

25

23

21

Since the x coordinate in  is 0, implying that  is the y - intercept of the graph of this equation and hence:

                     

General equation  of slope of line is given by

           

           

           

General equation for slope intercept form

         

       

Hence the table shows a linear function that can be modeled by the equation  

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