(6) Discuss but do not submit. Let Mt) denote the altitude of a climber at time t. The climber started her trip at time t = 0, reached the summit 900 feet higher at timei t = 6 and returned to the point of origin at time t = 12. Comment on the statements: 7 A) The average rate of altitude change over the time period [0, 12] depends on how fast the climber was ascending. B) The average rate of altitude change over [0, 6] is equal to average rate of altitude change over [12, 6]. C) At some time during the trip the climber was ascending at a rate of 150 feet per hour. D) At all times during the ascent the climber was ascending at a rate of 150 feet per hour. (7) If a house bought for $1000000 appreciates at an annual percentage rate of 20what is the average dollar rate of change of its price during (a) the rst year, (b) the second year, (c) the third year? What are the units of these rates of change? (8) Discuss on the forum but no need to submit Think of some quantity that you encoun tered in your profession or what you observed recently in life, be it in nature, politics, economics, emotions, love, social network etc. Share with others the meaning of impact of the rate of change of this quantity. Before you contribute verify that no one has yet posted the same example