Linear Relationships, SM-Bank 022

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

Top Number	2	4	6	8
Bottom Number	8	16	24	32

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

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What is the bottom number when the top number is 15? (2 marks)

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a. \(\text{Bottom number}=4\times \text{Top number}\)

b. \(60\)

Show Worked Solution

Top Number	\(2\)	\(4\)	\(6\)	\(8\)
Bottom Number	\(4\times 2=8\)	\(4\times 4=16\)	\(4\times 6=24\)	\(4\times 8=32\)

\(\text{Rule: Bottom number}=4\times \text{Top number}\)

b. \(\text{Rule: Bottom number}=4\times \text{Top number}=4\times 15=60\)