Question

Select the option that shows the correct numbers for missing values in the table.
$\begin{array}{cc}\text{Number of players}& \text{Number of basketball teams}\\ 18& 3\\ 24& 4\\ 30& 5\\ a& 6\\ b& 7\\ c& 8\\ d& 9\end{array}$

• A. $a=52;b=42;c=48;d=36;$
• B. $a=36;b=42;c=48;d=54;$
• C. $a=31;b=32;c=33;d=34;$
• D. $a=36;b=42;c=18;d=54;$

Answer 1

The correct option is B $a=36;b=42;c=48;d=54;$

$\begin{array}{ccc}\text{Number of players}& & \text{Number of basketball teams}\\ 18& ÷6& 3\\ 24& ÷6& 4\\ 30& ÷6& 5\\ 6\times 6=36& ÷6& 6\\ 7\times 6=42& ÷6& 7\\ 8\times 6=48& ÷6& 8\\ 9\times 6=54& ÷6& 9\end{array}$

We can see that to get the term in the “number of basketball teams”, we must divide the term in the “number of players” column by 6.
The relationship between the number of players and the number of basketball teams is that the number of basketball teams is one-sixth of the number of players.
So, the missing values are:
$a=36;$
$b=42;$
$c=48;$
$d=54;$
Hence, option D is correct.