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Linear Relationships, SM-Bank 025 MC

Billy is setting up tables for a comedy night at his club.

An  X  is placed for every available seat at a table, as shown below.
 

  
Which of these rules can be used to work out how many people can sit on any row of tables?

  1. \(\text{number of tables}\times 6\)
  2. \(\text{number of tables}\ ÷\ 2-2\)
  3. \(\text{number of tables}\times 4+2\)
  4. \(\text{number of tables}\times 4-2\)
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\(C\)

Show Worked Solution

\(\text{Consider Option C:}\)

\(\text{1st table:}\ \ 1\times 4 +2 = 6\ \text{people}\)

\(\text{2nd table:}\ \ 2\times 4 +2 = 10\ \text{people}\)

\(\text{3rd table:}\ \ 3\times 4 +2 = 14\ \text{people}\)

\(\therefore\ \text{number of tables}\times 4 + 2\ \text{is the correct rule.}\)

\(\Rightarrow C\)