Q11. - Algebra 2

Question

For Exercises 11 and 12, use the table below that shows the number of kids registered for baseball and softball

The Westfall Youth Baseball and Softball League charges the following registration fees: ages 7-8, $45$; ages 9-10, $55$; and ages 11-14, $65$.

 Write a matrix for the registration fees and a matrix for the number of players.

Step-by-Step Solution

Answer

The matrix related to the registration fees is $R=\left[\begin{array}{c}45\\ 55\\ 65\end{array}\right]$

and related to the count of 

players is $P=\left[\begin{array}{ccc}350& 320& 180\\ 280& 165& 120\end{array}\right]$

Step 1- State the dimensions for each matrix

The dimensions of the matrix related to the registration fees will be $3\times 1$ and related to the count of players will be $2\times 3$

Step 2 – Make the required matrix

By using the provided information and dimensions make the matrix R related to the registration fees.

$R=\left[\begin{array}{c}45\\ 55\\ 65\end{array}\right]$

By using the provided information and dimensions make the matrix P related to the count of players. In this matrix, the first row will be for baseball and second row will be for softball.

$P=\left[\begin{array}{ccc}350& 320& 180\\ 280& 165& 120\end{array}\right]$

Step 3- Make the conclusion

As the obtained matrices are completely defining the provided information so obtained matrices are the required matrices.