Input (x) Output (y)

Question

32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.

Answer 1

Input (x) Output (y)
32 20
14 2
-6 -1
-2 5
-14 8
-10 -4

Function rule: y = -0.25x + 22

Answer 2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.

Answer 3

To find the missing outputs, we need to identify the pattern in the given inputs and outputs.

If we subtract the output from 30, we get the input. For example, 30-20=10, which is the input for output 20. Similarly, 30-2=28, which is the input for output 2.

Using this pattern, we can find the missing outputs as follows:

- For input -6: 30 - (-1) = 31, so the output is 31 - 30 = 1
- For input -2: 30 - 5 = 25, so the output is 30 - 25 = 5
- For input -14: 30 - 8 = 22, so the output is 30 - 22 = 8
- For input -10: 30 - (-4) = 34, so the output is 30 - 34 = -4

Thus, the complete function table is:

Input (x) Output (y)
32 20
14 2
-6 1
-2 5
-14 8
-10 -4

The function rule is not unique, but one possible rule that fits these input-output pairs is:

y = -0.25x + 22

Answer 4

make it shorter but more simple

Answer 5

To complete the function table and find the missing outputs, we can subtract the given outputs from 30 to get the corresponding inputs. Then, we can use these inputs to find the missing outputs.

The complete function table is:

Input (x) Output (y)
32 20
14 2
-6 1
-2 5
-14 8
-10 -4

A possible function rule that fits these input-output pairs is:

y = -0.25x + 22