Chapter 4: Q38. (page 165)

For Exercises 36-39, use the following price list for one-day admissions to the community pool.
38. Write a matrix that represents the cost of admission before 6:00 P.M. and a matrix that represents the cost of admission after 6:00 P.M..

Short Answer

Expert verified

The matrix representing the data for males and females are:

$\begin{array}{l} Before6:00P.M. \\ A = \begin{matrix} Residents \\ Non-Residents \end{matrix} [\begin{matrix} 3 & 4.50 \\ 4.50 & 6.75 \end{matrix}] \end{array}$ and $\begin{array}{l} After6:00P.M. \\ B = \begin{matrix} Residents \\ Non-Residents \end{matrix} [\begin{matrix} 2 & 3.50 \\ 3 & 5.25 \end{matrix}] \end{array}$

Step by step solution

- Define the concept of organizing data in matrix

A matrix is a rectangular array of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets. Data is organized in such a way that each position has a purpose. Each value of the matrix is called an element.

- Write the matrix depicting cost of admissions before 6:00 P.M

Let the first matrix representing the cost of admissions before 6:00 P.M be A. Then,

$\begin{array}{l} Before6:00P.M. \\ A = \begin{matrix} Residents \\ Non-Residents \end{matrix} [\begin{matrix} 3 & 4.50 \\ 4.50 & 6.75 \end{matrix}] \end{array}$

- Write the matrix depicting cost of admissions after 6:00 P.M

Let the matrix representing the cost of admissions after 6:00 P.M be B. Then,

$\begin{array}{l} After6:00P.M. \\ B = \begin{matrix} Residents \\ Non-Residents \end{matrix} [\begin{matrix} 2 & 3.50 \\ 3 & 5.25 \end{matrix}] \end{array}$

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For Exercises 36-39, use the following price list for one-day admissions to the community pool.
38. Write a matrix that represents the cost of admission before 6:00 P.M. and a matrix that represents the cost of admission after 6:00 P.M..

Short Answer

Step by step solution

- Define the concept of organizing data in matrix

- Write the matrix depicting cost of admissions before 6:00 P.M

- Write the matrix depicting cost of admissions after 6:00 P.M

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Most popular questions from this chapter

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For Exercises 36-39, use the following price list for one-day admissions to the community pool.38. Write a matrix that represents the cost of admission before 6:00 P.M. and a matrix that represents the cost of admission after 6:00 P.M..

Short Answer

Step by step solution

- Define the concept of organizing data in matrix

- Write the matrix depicting cost of admissions before 6:00 P.M

- Write the matrix depicting cost of admissions after 6:00 P.M

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Geometry

Theoretical and Mathematical Physics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

For Exercises 36-39, use the following price list for one-day admissions to the community pool.
38. Write a matrix that represents the cost of admission before 6:00 P.M. and a matrix that represents the cost of admission after 6:00 P.M..