To find the missing values in the table, we can analyze the existing pairs of values to look for a pattern.
Starting with the inputs and outputs:
- For input 1, the output is 3.
- For input 2, the output is 6.
- For input 3, the output is missing (x).
- For input 4, the output is 12.
From the existing inputs and outputs, we can see a pattern:
- The output appears to be 3 times the input:
- For input 1: \(1 \times 3 = 3\)
- For input 2: \(2 \times 3 = 6\)
- For input 4: \(4 \times 3 = 12\)
Now, let's apply this pattern to find the missing output for input 3:
- For input 3: \(3 \times 3 = 9\)
Now, we notice that there is another missing value labeled as y corresponding to the output 15.
To find y, we set an equation assuming a consistent relationship:
- From the pattern we see that it might also follow the same \(y = n \times 3\).
- To find which input corresponds to 15, we can set up the equation: \[ n \times 3 = 15 \] \[ n = \frac{15}{3} = 5 \]
So, the complete table with the missing values filled in becomes:
1 | 3
2 | 6
3 | 9
4 | 12
5 | 15
Thus, the missing values are \(x = 9\) and \(y = 5\).