Task #1: Pieces of Winter
During the post-Christmas blizzard, snow fell at a remarkable rate and accumulated very rapidly. The final volume total was a staggering 367 cubic feet! The rate f(t), in cubic feet per hour, at which you and your friends remove snow from the school parking lot at time t hours after midnight is modeled by
1) Explain the significance of each piece of this equation. Discuss the meaning of each number (0,125, and 108) and the domain.
2) Let r(t) represent the total amount of snow, in cubic feet, that you and your friends have removed from the parking lot at time t hours after midnight. Construct r(t) as a piecewise-defined function with domain 0≤ t ≤ 9.
3) Did you and your friends remove all of the snow from the parking lot by 9 am? Justify your response. If not, how much snow remained at 9am?
