I have an input output table, but I can't figure out the rule.
Input: 1, 2, 5, 7, 10
Output:5, 15,?, ?, ?
output=input*(10)-5
It goes up by ten each time so it's very simple.
To find the rule for the given input-output table, we need to look for patterns or relationships between the inputs and outputs. Let's analyze the differences between consecutive inputs and outputs:
Input: 1, 2, 5, 7, 10
Output: 5, 15, ?, ?, ?
To find the rule for the output values, we can start by calculating the differences between consecutive output values:
- The difference between 2 and 1 is 5 - 2 = 3
- The difference between 5 and 2 is 15 - 5 = 10
- The difference between 7 and 5 is ? - 7 = ?
- The difference between 10 and 7 is ? - 10 = ?
- The difference between the last two outputs is ? - ? = ?
Looking at the differences, we can see that the pattern is not consistent. The differences between the first two outputs are increasing by 7 (3, 10), but the next two differences are currently unknown. Therefore, we cannot determine a precise rule based on the given data.
To obtain a rule, you may need to gather more information or context about the table, such as the nature of the problem or the type of relationship intended. Additionally, it is possible that the table does not follow a specific rule and lacks a consistent pattern.