Linear Relationships, SM-Bank 024

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

Top Number	\(1\)	\(2\)	\(3\)	\(4\)
Bottom Number	\(0\)	\(-1\)	\(-2\)	\(-3\)

What is the rule connecting the top number and the bottom number? (2 marks)

--- 2 WORK AREA LINES (style=lined) ---
What is the bottom number when the top number is \(21\)? (2 marks)

--- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

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

b. \(-2\)

Show Worked Solution

Top Number	\(1\)	\(2\)	\(3\)	\(4\)
Bottom Number	\(1-1=0\)	\(1-2=-1\)	\(1-3=-2\)	\(1-4=-3\)

\(\text{Rule: Bottom number}=1-\text{Top number}\)

b. \(\text{Bottom number}=1-\text{Top number}=1-21=-20\)