Asked by Hermi Aiko Lupac on Jun 05, 2024
Verified
If the population of Dodge City is decreasing at a rate of 19% per year, how long will it take to decrease from 7,700 to 2,000?
A) 7.75 years
B) 6.4 years
C) 9.6 years
D) 5.8 years
E) 4.9 years
Population Decrease
A decline in the number of people living in a specific area, often due to factors like emigration, lower birth rates, or increased mortality rates.
- Determine the rates of demographic expansion or contraction and anticipate changes in the population over time.
Verified Answer
LI
liridon imeriJun 11, 2024
Final Answer :
A
Explanation :
The population decrease can be modeled by the exponential decay formula P=P0(1−r)tP = P_0(1 - r)^tP=P0(1−r)t , where PPP is the final population, P0P_0P0 is the initial population, rrr is the rate of decrease (as a decimal), and ttt is the time in years. Plugging in the given values, 2000=7700(1−0.19)t2000 = 7700(1 - 0.19)^t2000=7700(1−0.19)t . Solving for ttt gives approximately 7.75 years.
Learning Objectives
- Determine the rates of demographic expansion or contraction and anticipate changes in the population over time.