Concept explainers
To find: the greatest numerical increase in students participating between 2005 and 2010 by using matrices.
Answer to Problem 22PPE
SOCCER.
Explanation of Solution
Given:
The below table shows that the number of participants in various sports in the year 2005 and 2010:
Sports participant, 2005 | ||
Sports | Students | Adults |
Base-ball | 739 | 215 |
Basket-ball | 1023 | 437 |
Football | 690 | 58 |
Soccer | 1546 | 42 |
Sports participant, 2010 | ||
Sports | Students | Adults |
Base-ball | 892 | 351 |
Basket-ball | 1114 | 483 |
Football | 653 | 64 |
Soccer | 1712 | 31 |
Calculation:
Using matrices to organize the information.
Sports participant, 2005
Sports participant, 2010
Now, to find the increase, subtract the sports participation for 2010 by the participation for 2005. Therefore,
Now, find the greatest numerical value in the first column which corresponds to the student’s participation.
Thus, 166 is the greatest number which corresponds to SOCCER.
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