Question

look at the diagram below. an input and an output are filled in.which rules would make this input-output pair true?inputruleoutput21?7could be a rule for this input-output paircould not be a rule for this input-output pairmultiply by 2, then add 3.divide by 3.if even, write 4. if odd, write 7.add 11.subtract 7, then divide by 2.if even, write 19. if odd, subtract 3.

Explanation:

Step1: Test "Multiply by 2, then add 3"

Calculate $21 \times 2 + 3 = 42 + 3 = 45
eq 7$

Step2: Test "Divide by 3"

Calculate $\frac{21}{3} = 7$

Step3: Test "If even, write 4. If odd, write 7"

21 is odd, so output = 7

Step4: Test "Add 11"

Calculate $21 + 11 = 32
eq 7$

Step5: Test "Subtract 7, then divide by 2"

Calculate $\frac{21 - 7}{2} = \frac{14}{2} = 7$

Step6: Test "If even, write 19. If odd, subtract 3"

21 is odd, so $21 - 3 = 18
eq 7$

Answer:

Could be a rule for this input-output pair

Divide by 3.
If even, write 4. If odd, write 7.
Subtract 7, then divide by 2.

Could not be a rule for this input-output pair

Multiply by 2, then add 3.
Add 11.
If even, write 19. If odd, subtract 3.