Question

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 1

Answer:

468

624

31.2 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 $156( 1 + \frac{20\times 10}{100}) = 468$

And, after 15 years the population of the rabbits in that region will become $156( 1 + \frac{20\times 15}{100}) = 624$

Now, the average rate of change of rabbit population between 10 and 15 years will be $\frac{624 - 468}{15 - 10} = 31.2$ Rabbits per year.