If I have the inputs of 0,1,2,3,4and the outputs of 2,14,26,38,50,what is the rule?
To find the rule that relates the inputs and outputs, let's examine the pattern in the data provided.
First, let's consider the change between consecutive inputs and outputs:
- The change between 0 and 1 in the input is 1, and the change between 2 and 14 in the output is 12.
- The change between 1 and 2 in the input is also 1, and the change between 14 and 26 in the output is 12.
- The change between 2 and 3 in the input is again 1, and so on.
From this observation, we can see that there is a constant difference of 12 between consecutive outputs. Therefore, we can say that the output is obtained by multiplying the input by 12 and then adding a constant value.
Let's find that constant value: When the input is 0, the output is 2. So, we can calculate the constant value by subtracting 0 multiplied by 12: 2 - (0 * 12) = 2 - 0 = 2.
Therefore, the rule that relates the input and output is: Output = (Input * 12) + 2.