The population of pigeons in a park is represented by the function \displaystyle f\left(x\right)=170\cdot0.77^{x}f(x )=170⋅0.77 x
can be used to model the population of pigeons x years after their population was first recorded. Answer the following questions.

1. Does the function represent exponential growth or decay?

2. What is the rate as a percent for this function?
%

3. How many pigeons will there be in the park after 5 years? Round to the nearest whole pigeon.

4. Using Desmos, approximately how many years will it take the park to reach 1 pigeon? Round to the nearest year.
years

5. What was the initial number of pigeons in the park?