IMPORTANT NOTE:       In 15 years of teaching from this book, no one EVER solved these problems using Method II.  With calculators of today, Method I is more than adequate for the needs of College Algebra students.  Method II is for students in Differential Equations!!!

28.      How long will it take the population from # 26  to reach 200,000?

29.       The population of a city was 184,000 in the year 1996, and 310,000 in the year 2003.  At this rate of growth, find the value of k, and estimate the population that should be expected

      a.        in 2008?                      b.      in 2010?                  c.    in 2015?

30.         How long will it take the population in the previous exercise

            a.      to double?                             b.   to triple?      

31.          How many years will it take this population reach 500,000?

32.         How many years will it take this population to reach 1,000,000?

[NOTE:   As a check, subtract the answers from the last two problems (#31 and 32) and compare to #30a) where the population doubles!  ]

ANSWERS 4.05

                             28.  49 years       29a)   y ≈ 449,965, which rounds off to 450,000, b)  y ≈ 522,282.6 , which rounds off to 522,000,

    29c)  y ≈ 758,093 , which rounds off to 758,000;  30a)  9.3 years, b) 14.7 years;  31. 13.4 years;  32. 9.3 years.