Q26. - Algebra 2

Question

For exercises 26 and 27, use the advertisement shown at the right.

Write a matrix for the prices of movie tickets for adults, children, and seniors.

Step-by-Step Solution

Answer

A matrix for the prices of movie tickets for adults, children, and seniors is $\left[\begin{array}{ccc}\mathbf{7}\mathbf{.}\mathbf{50}& \mathbf{5}\mathbf{.}\mathbf{50}& \mathbf{3}\mathbf{.}\mathbf{75}\\ \mathbf{4}\mathbf{.}\mathbf{50}& \mathbf{4}\mathbf{.}\mathbf{50}& \mathbf{3}\mathbf{.}\mathbf{75}\\ \mathbf{5}\mathbf{.}\mathbf{50}& \mathbf{5}\mathbf{.}\mathbf{50}& \mathbf{3}\mathbf{.}\mathbf{75}\end{array}\right]$.

Step 1 – Description of step.

Matrix is an ordered rectangular arrangement of numbers in horizontal rows and vertical columns enclosed in brackets.

Step 2 – Description of step.

Let three columns stands for Evening, Matinee and twilight shows respectively and three rows stands for prices of movie tickets for adult, child and senior respectively.

Step 3 – Description of step.

Write a matrix for the prices of movie tickets for adults, children, and seniors.

$\left[\begin{array}{ccc}7.50& 5.50& 3.75\\ 4.50& 4.50& 3.75\\ 5.50& 5.50& 3.75\end{array}\right]$ 

Therefore, a matrix for the prices of movie tickets for adults, children, and seniors is $\left[\begin{array}{ccc}7.50& 5.50& 3.75\\ 4.50& 4.50& 3.75\\ 5.50& 5.50& 3.75\end{array}\right]$.