Question

Fill in the table using this function rule. y=19-2x

Answer 1

The missing values in table should be completed as follows;

x y

1 17

2 15

3 13

4 11

In order to use the given linear function y = 19 - 2x to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows.

When the value of x is 1, the linear function is given by;

y = 19 - 2(1)

y = 19 - 2

y = 17

When the value of x is 2, the linear function is given by;

y = 19 - 2(2)

y = 19 - 4

y = 15

When the value of x is 3, the linear function is given by;

y = 19 - 2(3)

y = 19 - 6

y = 13

When the value of x is 4, the linear function is given by;

y = 19 - 2(4)

y = 19 - 8

y = 11

Answer 2

x => y

1 => 17

2 => 15

3 => 13

4 => 11

Explanation:

Given the function rule,
`y = 19 - 2x`, to fill the table, simply plug in the value of x in each given row to get y.

When x = 1:

`y = 19 - 2x = 19 - 2(1)`

`y = 19 - 2 = 17`

When x = 2:

`y = 19 - 2x = 19 - 2(2)`

`y = 19 - 4 = 15`

When x = 3:

`y = 19 - 2x = 19 - 2(3)`

`y = 19 - 6 = 13`

When x = 4:

`y = 19 - 2x = 19 - 2(4)`

`y = 19 - 8 = 11`