What is the rule for this input/output table

Input 2 output 10
Input 6 output 26
Input 8 output 34
Input 10 output 42

times 4, + 2

To find the rule for this input/output table, we need to look for a pattern in the numbers given. Let's analyze the relationship between the inputs and outputs:

Input 2 corresponds to an output of 10. We can see that the output is 5 times the input plus 0: 10 = (2 * 5) + 0.

Input 6 corresponds to an output of 26. Again, the output is 5 times the input plus 0: 26 = (6 * 5) + 0.

Input 8 corresponds to an output of 34. The output continues to follow the same pattern, being 5 times the input plus 0: 34 = (8 * 5) + 0.

Input 10 corresponds to an output of 42. Once again, the output is 5 times the input plus 0: 42 = (10 * 5) + 0.

From this pattern, we can determine that the rule for this input/output table is to multiply the input by 5 and add 0. So, the general rule is output = input * 5 + 0.