Answer:
The expression that represents the town's population after 5 years.
[tex]P_f=9900(1.023)^5[/tex]
Step-by-step explanation:
Given:
Current population of Springfield, USA = 9,900
Rate of growth per year = 2.3%
To find the expression that represents the town's population after 5 years.
Solution:
The exponential growth expression is given as:
[tex]P_f=P_0(1+\frac{r}{100})^t[/tex]
where :
[tex]P_f\rightarrow[/tex] represents the final population after [tex]t[/tex] years
[tex]P_o\rightarrow[/tex] represents the initial population
[tex]r\rightarrow[/tex] represents the rate of growth in percent
Plugging in the known values.
[tex]P_f=9900(1+\frac{2.3}{100})^5[/tex]
Simplifying.
[tex]P_f=9900(1+0.023)^5[/tex]
[tex]P_f=9900(1.023)^5[/tex]
Thus, the above expression represents the population after 5 years.
