Concept explainers
a.
To find: Matrix for the registration fees and Matrix for the number of students.
a.
Answer to Problem 12CYU
Registration fees matrix is
Number of student matrix is
Explanation of Solution
Given equation:
Quinn’s Gym charges the following registration fees: class-by-class, $165;11-class pass, $110; unlimited pass, $239.
Table represents Number of students in Quinn’s Gym.
From the given table
We can write a matrix of number of students,
First rows represent the number of students of class-by-class pass and Second row represents the 11-class pass and Third row represents number of students of unlimited pass.
Columns represents the two types of students they are Aerobics students and Step Aerobics.
Therefore,
Number of columns will be 2
Therefore,
Number of student matrix is
From given information
Quinn’s Gym charges the following registration fees: class-by-class, $165;11-class pass, $110; unlimited pass, $239.
First column represents the registration fees of class-by-class pass and Second column represents the registration fees for 11-class pass and Third column represents registration fees of unlimited pass.
There is only one row which represents the registration fee for each pass.
Therefore,
Registration fees matrix is
b.
To find: Add the elements of each row and interpret the results.
b.
Answer to Problem 12CYU
Total amount received by gym =
Explanation of Solution
Given equation:
Quinn’s Gym charges the following registration fees: class-by-class, $165;11-class pass, $110; unlimited pass, $239.
Table represents Number of students in Quinn’s Gym.
Number of student matrix is
Registration fees matrix is
Therefore
Total amount of money the gym received from aerobics and step-aerobic registrations is
Therefore, from above matrix we get
Amount of money gym received through Aerobics = $13597
Amount of money gym received through Step-Aerobics = $9358
Therefore,
Total Amount = Amount of money gym received through Aerobics + Amount of money gym received through Step-Aerobics.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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