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Linear Relationships, SM-Bank 031 MC

Which rule correctly describes the pattern below?

           

  1. \(\text{The number of pins}=\text{The number of triangles}+3\)
  2. \(\text{The number of pins}=\text{The number of triangles}+5\)
  3. \(\text{The number of pins}=\text{The number of triangles}\times 2\)
  4. \(\text{The number of pins}=\text{The number of triangles}\times 3\)
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\(D\)

Show Worked Solution
\(\text{Number of triangles }(t)\) \(\ \ 1\ \ \) \(\ \ 2\ \ \) \(\ \ 3\ \ \) \(\ \ ….\ \ \)
\(\text{Number of pins }(p)\) \(\ \ 3\ \ \) \(\ \ 6\ \ \) \(\ \ 9\ \ \) \(\ \ ….\ \ \)

  
\(\therefore\ \text{The number of pins}=\text{Number of triangles}\times 3\)

\(\Rightarrow D\)