Answer: [tex]P=1.4(0.88)^t[/tex]
Step-by-step explanation:
The exponential equation to show decay in population :
[tex]P=P_0(1-r)^t[/tex] (i) , where P= population after t years, [tex]P_0[/tex] = initial population, r =rate of decay.
Given: The population of Austinburg on January 1, 2000 : [tex]P_0=1.4\text{ million}[/tex]
r= 12%= 0.12
Put theses values in (i), we get
[tex]P=1.4(1-0.12)^t\\\\\Rightarrow\ P=1.4(0.88)^t[/tex], which gives the population (in millions), p, of Austinburg t years after January 1, 2000.
