Final answer:
To find the output for the input of -11 in an input/output machine with a sequence of outputs decreasing by 3, we simply add 3 repeatedly to the start of sequence until we reach the 11th step backward, which gives us an output of 126.
Step-by-step explanation:
The student is presented with an input/output machine that follows a specific rule to produce an output from an input. To complete the table for the given outputs, we need to identify the pattern or rule. Let's examine the sequence provided: 93, 90, 87, 84, 81. We notice that each output is 3 less than the previous one. Thus, the rule appears to be subtract 3 from the previous output to find the next output.
Starting with an output of 93 and applying our rule:
- Output for the 1st input: 93 (given)
- Output for the 2nd input: 93 - 3 = 90 (given)
- Output for the 3rd input: 90 - 3 = 87 (given)
- Output for the 4th input: 87 - 3 = 84 (given)
- Output for the 5th input: 84 - 3 = 81 (given)
- Output for the 6th input: 81 - 3 = 78
Continuing this pattern backward, we can find the output for the input of -11 by adding 3 repeatedly.
- Output for input -11: 93 + (3 * 11) = 93 + 33 = 126
Therefore, the output for the input of -11 is 126.