Sample Activity of Integration on Quadratic Equations

In Palam subcounty, a number of local people earn a living from burning charcoal
and trading in it. As a result, the local leaders of Palam subcounty are worried of the
consequences of people cutting down trees for charcoal.
Support: The annual rate at which people in Palam subcounty cut down trees for
charcoal is modelled by the quadratic equation y(t) = 3,000 — 20t2— 100t, wherey(t)
is the number of trees remaining after a given time and t is the time (in years).

Task
If you are a member of the environmental committee of the local government, make a write-up to the local community about the consequences of cutting down the trees for charcoal.