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

468

624

31.2 Rabbits per year.

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 + (20* 10)/(100)) = 468`

And, after 15 years the population of the rabbits in that region will become
`156( 1 + (20* 15)/(100)) = 624`

Now, the average rate of change of rabbit population between 10 and 15 years will be
`(624 - 468)/(15 - 10) = 31.2` Rabbits per year.