The rabbit population in a certain region is 156. It is said that the population will increase 20% each year. What is the population after 10 years? After 15 years? What is the average rate of change between years 10 and 15?

Answer:46862431.2 Rabbits per year.Step-by-step explanation:The rabbit population in a certain region is 156. It is said that the population will increase by 20% each year. Therefore, after 10 years the population of the rabbits in that region will become [tex]156( 1 + \frac{20\times 10}{100}) = 468[/tex] And, after 15 years the population of the rabbits in that region will become [tex]156( 1 + \frac{20\times 15}{100}) = 624[/tex] Now, the average rate of change of rabbit population between 10 and 15 years will be [tex]\frac{624 - 468}{15 - 10} = 31.2[/tex] Rabbits per year.