Question

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 1

1. Solve the equation.

2x – 3 = 15 (1 point)
x = 6
x = 9
x = 24
x = 36

Answer 2

To find the missing outputs, we need to determine a pattern in the given input-output pairs. We can notice that the output is always 18 less than the input. Using this pattern, we can fill in the missing outputs as follows:

Input (x) Output (y)
32 20
14 2
28 10
-6 -24
-2 -20
-14 -32
-10 -28

The function rule is y = x - 18.

Answer 3

Add 3 to both sides to isolate the variable:

2x = 18

Divide both sides by 2:

x = 9

Therefore, the solution is x = 9.