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Linear Relationships, SM-Bank 016 MC

This chart shows the longest run, in kilometres, that Deek ran each week over 4 weeks.

Week   1     2     3     4  
Longest Run (km) 8 11 14 17

 
The chart also shows a pattern in Deek's running. The correct pattern connecting the week and the longest run is: 

  1. \(\text{Week}\times 8\)
  2. \(\text{Week}\times 2+6\)
  3. \(\text{Week}\times 3+5\)
  4. \(\text{Week}+7\)
Show Answers Only

\(C\)

Show Worked Solution

\(\text{Consider Option C }:\ \text{Week}\times 3+5\)

\(\text{Week 1}\longrightarrow\) \(1\times 3+5=8\) \(\checkmark\)
\(\text{Week 2}\longrightarrow\) \(2\times 3+5=11\) \(\checkmark\)
\(\text{Week 3}\longrightarrow\) \(3\times 3+5=14\) \(\checkmark\)
\(\text{Week 4}\longrightarrow\) \(4\times 3+5=17\) \(\checkmark\)

 
\(\Rightarrow C\)