Final answer:
The pattern rule for the given input/output table is that the output increases by 25 for every 75 increase in the input. The pattern can be represented by the formula: Output = (Input - 3456) / 3 + 1152.
Step-by-step explanation:
To find the pattern rule for the output numbers given an input/output table, you need to determine how the input numbers are related to the output numbers. Looking at the provided table, you can observe that with each increase in the input number, the output number also increases.
To determine the specific relationship, we can examine how the input and output numbers change in relation to each other. For example:
When the input changes from 3456 to 3531, an increase of 75, the output changes from 1152 to 1177, an increase of 25.- This pattern continues for the rest of the table, suggesting that for every increase of 75 in the input, the output increases by 25.
By looking at the base input-output pair (3456, 1152), we can create a formula to express this relationship. The formula would be:
Output = (Input - 3456) / 3 + 1152
To confirm this pattern rule, you can plug in the other input numbers into the formula and check to see if they give you the corresponding output numbers.