Consider the following scenario


For each year $\displaystyle {t}$, the population of a certain type of berries in forest A is represented by $\displaystyle {A}{\left({t}\right)}={138}\cdot{\left({1.025}\right)}^{{t}}$

In forest B, the population of the same type of berries is represented by $\displaystyle {B}{\left({t}\right)}={107}\cdot{\left({1.029}\right)}^{{t}}$


Which forest's population of berries is growing at a faster rate?

Which forest had a greater number of berries initially? By how many?


Assuming the growth models continue to represent the population of berries in each forest, which forest will have a greater number of berries in 20 years? By how many? (round your answer to the nearest integer)


Assuming the growth models continue to represent the population of berries in each forest, which forest will have a greater number of berries in 100 years? By how many? (round your answer to the nearest integer)