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Linear Relationships, SM-Bank 023

The table below has a pattern. The top and bottom numbers are connected by a rule.

Top Number   21     18     15     12  
Bottom Number 7 6 5 4
  1. What is the rule connecting the top number and the bottom number?  (2 marks)

  2. What is the bottom number when the top number is \(-6\)?  (2 marks)

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a.    \(\text{Bottom number}=\text{Top number}\ ÷ \ 3\)

b.    \(-2\)

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a.   

Top Number \(21\) \(18\) \(15\) \(12\)
Bottom Number \(21\ ÷\ 3=7\) \(18\ ÷\ 3=6\) \(15\ ÷\ 3=5\) \(12\ ÷\ 3=4\)

\(\text{Rule:  Bottom number}=\text{Top number}\ ÷\ 3\)

b.    \(\text{Bottom number}=\text{Top number}\ ÷\ 3=-6\ ÷\ 3=-2\)