From 2000 - 2010 a city had a 2.5% annual decrease in population. If the city had 2,950,000 people in 2000, determine the city's population in 2008. a

Braxton Pugh

Braxton Pugh

Answered question

2021-02-03

From 2000 - 2010 a city had a 2.5% annual decrease in population. If the city had 2,950,000 people in 2000, determine the citys

Answer & Explanation

Willie

Willie

Skilled2021-02-04Added 95 answers

a) It is an exponential decline since the population is declining.

b) The beginning sum is 2,950,000 if t=0t=0 corresponds to the year 2000.

c) The rate of deterioration is 2.5%. Given that 1-r is the decay factor, we obtain 1 - 0.025 or 0.975.

d) y=a(1r)x, where a is the beginning value and 1-r is the decay factor, gives the exponential decay. So,
y=2,950,000(0.975)x, x is the number of years after 2000. 
e) Year 2008 corresponds to x=8 so: y=2,950,000(0.975)8 
y2,409,123

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