4.05
Applications--Growth and Decay
from College Algebra: One Step at a
Time ©
1996-2011
P. 531-539
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
ANSWERS TO ALL EXERCISES ARE INCLUDED AT THE
END OF THIS PAGE
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.
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