Answer: [tex]P=153(0.92)^t[/tex]
Step-by-step explanation:
For this problem you need to use the formula for Exponential decay:
[tex]P=P_0(1-r)^t[/tex]
Where "[tex]P_0[/tex]" is the initial population, "r" is the decay rate and "t" is the time in years.
With the information given, you can conclude that:
[tex]t=0[/tex] represents the initial year (2019)
[tex]P_0=153[/tex]
[tex]r=\frac{8}{100}\\\\r=0.08[/tex]
Finally, substituting these values into [tex]P=P_0(1-r)^t[/tex], you get that the equation that represents the population since 2019 is:
[tex]P=153(1-0.08)^t[/tex]
[tex]P=153(0.92)^t[/tex]
