A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year. The population now consists of 192 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 s age s 1 2112 1 s age < 2 48 2 s age < 3 144 In 2 years? 0 s age s 1 2112 1s age s 2 48 2 s age < 3 144

A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year. The population now consists of 192 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 s age s 1 2112 1 s age < 2 48 2 s age < 3 144 In 2 years? 0 s age s 1 2112 1s age s 2 48 2 s age < 3 144

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.4: Matrix Inversion

Problem 6SC

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Question

A population has the following characteristics.
(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years.
(b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year.
The population now consists of 192 members in each of the three age classes. How many members will there be in each age class in 1 year?
0 s age s 1
2112
1 s age < 2
48
2 s age < 3
144
In 2 years?
0 s age s 1
2112
1s age s 2
48
2 s age < 3
144

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