I am trying to figure out an input/output problem:
Input Output
1 8
2 14
3 -
- 24
- 28
6 -
To figure out the missing values in the Input/Output problem, you need to look for a pattern or rule that relates the given inputs to their corresponding outputs. Let's analyze the given input/output pairs:
Input: 1, Output: 8
Input: 2, Output: 14
Input: 3, Output: -
Input: -, Output: 24
Input: -, Output: 28
Input: 6, Output: -
Looking at the input values, we can see that they are increasing by 1 each time: 1, 2, 3, -, -, 6. Similarly, we can observe the output values: 8, 14, -, 24, 28, -.
One possible pattern or rule that we can infer from this data is that the output is obtained by multiplying the input by a certain number, and then adding a specific value. Let's call this number "x" and the constant value "y".
With this approach, we can first determine the value of "x" by looking at how the input values are related to their corresponding output values.
For the given input/output pairs:
1 * x + y = 8 (equation 1)
2 * x + y = 14 (equation 2)
By subtracting equation 1 from equation 2, we can eliminate "y" and solve for "x":
(2 * x + y) - (1 * x + y) = 14 - 8
x = 6
Now, we have the value of "x" as 6. To find the value of "y", we can substitute this value into one of the equations:
1 * 6 + y = 8
6 + y = 8
y = 2
Now that we know the values of "x" and "y" (6 and 2, respectively), we can calculate the output for the missing input values.
For Input 3:
3 * 6 + 2 = 20
For Input 6:
6 * 6 + 2 = 38
Thus, the missing outputs are 20 and 38.