Question

The population of cirque city was 43,129 in 1999 and was 56,780 in 2010. If the population was growing exponentially what was the growth rate

Answer 1

r=2.5%

Explanation:

An exponential growth distribution is generally expressed as:

`P_t=P_oe^(rt)`

where:

• 
  `P_t` is population at time t
• 
  `P_o` is the initial population
• 
  `r` is the rate of growth and t=time

#Substitute the given values to solve for r:

`P_(2010)=P_(1999)e^((2010-1999)r)\\\\56780=43129e^(11r)\\\\1.31652=e^(11r)\\\\\\r=(In \ 1.31652)/(11)\\\\=0.024999\approx 2.5\%`

Hence, the rate of growth is approximately 2.5%