1. the population of a city is modeled by the function p(t)= 0.5t^2 + 10t +200, where p(t) is the population in thousands and t is the time in years. note: t=0 corresponds to the year 2000. according to the model, when will the population reach 312 000?
2. water from a hose is sprayed on a fire burning at a height of 10 m up the side of a wall. if the function h(x) = -0.15t^2 + 3x, where x is the horizontal distance from the fire, in metres, models the height of the water, h(x), also in metres. how far back does the firefighter have to stand in order to put out the fire?