The population of a Canadian city is modelled by P(t)=12t^2+800t+40000, where t is the time in years. When t=0, the year is 2007. In what year is the poulation predicted to 300000?

Question

The population of a Canadian city is modelled by P(t)=12t^2+800t+40000, where t is the time in years. When t=0, the year is 2007.  In what year is the poulation predicted to 300000?

Steve · Answer

Man, you have the formula and the values. Just plug them in: 300000 = 12^t^2 + 800t + 40000 12t^2 + 800t - 260000 = 0 t = 117.5 year = 2124