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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?"

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Answer:

[tex]-0.4t^2+130t+1200>9500[/tex]

Step-by-step explanation:

The given expression is

[tex]p=-0.4t^2+130t+1200[/tex]

where

[tex]p[/tex] = Population of rabbits

[tex]t[/tex] = Time in months

Now, the population is greater than [tex]9500[/tex]

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

[tex]-0.4t^2+130t+1200>9500[/tex]

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