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3 years ago

Which table represents a linear function?

Mathematics

2 answers:

Greeley [361]3 years ago

8 0

Answer:

The table that represent a linear function is:

x y

1 -2

2 -10

3 -18

4 -26

Step-by-step explanation:

We are asked to find which of the following table represent an linear function.

As the x-value is increasing by a constant value i.e. '1'.

Hence, for the function to be a linear function the value of y must also increase or decrease by the same constant.

This means the difference in the y-value from the preceding y-value must be same.

x y Difference in y-value

1 -2

2 -5 -5-(-2)=-3

3 -9 -9-(-5)=-4

4 -14 -14-(-9)=-5

As the difference in y-value is different hence, the table does not represent a linear function.

x y Difference in y-value

1 -2

2 -4 -4-(-2)=-2

3 -8 -8-(-4)=-4

4 -16 -16-(-8)=-8

As the difference in y-value is different hence, the table does not represent a linear function.

x y Difference in y-value

1 -2

2 -6 -6-(-2)=-4

3 -2 -2-(-6)=4

4 -6 -6-(-2)=-4

As the difference in y-value is different hence, the table does not represent a linear function.

x y Difference in y-value

1 -2

2 -10 -10-(-2)=-8

3 -18 -18-(-10)=-8

4 -26 -26-(-18)=-8

As, the difference in y-value is same.

Hence, the table represent a linear function.

posledela3 years ago

4 0

You have to see if it's a constant rate of change

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