The final answers are:
19. b. Only 1 output
b. Only 1 output
c. There is not enough information. (Since both Rule B and Rule P appear to be functions based on the given information.)
Let's analyze the given information:
Rule B takes a person's name as its input and gives their birthday as the output.
Rule P takes a date as its input and gives a person with that birthday as the output.
Now, let's answer the questions:
Question 19: If you use your name as the input to Rule B, how many outputs are possible?
Answer: The question states that Rule B takes a person's name as input. If we assume that each person has a unique name, then Rule B should have only one output for each input (each person's name). Therefore, the answer is b. Only 1 output.
Question 20: If you use your birthday as the input to Rule P, how many outputs are possible?
Answer: Rule P takes a date as input and gives a person with that birthday as the output. If we assume that each date corresponds to only one person's birthday, then Rule P should have only one output for each input (each date). Therefore, the answer is b. Only 1 output.
Question 21: Which rule is a function?
Answer: A function is a relation in which each input is associated with exactly one output. Based on the information provided:
Rule B takes a person's name and gives their birthday (assuming each person has a unique name).
Rule P takes a date and gives a person with that birthday.
Both rules seem to be functions, as each input corresponds to only one output. Therefore, the answer is both Rule B and Rule P are functions.
So, the final answers are:
19. b. Only 1 output
b. Only 1 output
c. There is not enough information. (Since both Rule B and Rule P appear to be functions based on the given information.)