The observed rabbit population on an island is given by the function p(t) =-4t^2+80t+1200, where t is the time, in years, since the teachers began observing the rabbits. According to this quadratic function, after how many years will the rabbit population reach its peak

The rabbit population will reach its peak after 10 years.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

The vertex of the function is the point:

In which

If a is negative, the vertex is a peak.

In this question:

So

According to this quadratic function, after how many years will the rabbit population reach its peak

This is

The rabbit population will reach its peak after 10 years.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high