Question

The observed bunny rabbit population on an island is given by the function p= −0.4t^2 + 130t + 1200, where t is the time in months since they began observing the rabbits. Write an algebraic inequality that expresses the question "when is the population greater than 9500?"

Answer 1

`-0.4t^2+130t+1200>9500`

Explanation:

The given expression is

`p=-0.4t^2+130t+1200`

where

`p` = Population of rabbits

`t` = Time in months

Now, the population is greater than
`9500`

So, the algebraic inequality that expresses the question "when is the population greater than 9500?" is

`-0.4t^2+130t+1200>9500`