The rate, \( r(t) \), of the volume of water, in millions of tons, in a reservoir \( t \) years after 1990 as a function of time \( t \) in years is given by the graph below. **Graph Description:** - The graph plots \( r(t) \) on the vertical axis and \( t \) (years) on the horizontal axis. - The graph starts at the origin (0,0). - At \( t = 2 \), \( r(t) \) reaches a maximum of 4. - At \( t = 5 \), \( r(t) \) sharply reaches a minimum of -4. - At \( t = 10 \), \( r(t) \) returns to 0. **Graph Segments:** 1. From \( t = 0 \) to \( t = 2 \), the graph rises from 0 to 4. 2. From \( t = 2 \) to \( t = 4 \), the graph decreases from 4 to 0. 3. From \( t = 4 \) to \( t = 5 \), the graph further decreases to -4. 4. From \( t = 5 \) to \( t = 10 \), the graph increases back to 0. **Question:** Which of the following statements is true? Select all correct answers. - [ ] The volume of water decreased between 1990 and 1996. - [ ] The volume of water in 2000 is larger than the volume of water in 1990. - [ ] The volume of water in 1996 is equal to the volume of water in 1992. - [ ] The volume of water increased for the first four years after 1990. - [ ] The volume of water decreased between 1994 and 2000. - [ ] None of the others are correct.

The following graph shows the number T = T(d) of tornadoes in Oklahoma (F1/EF1 and stronger) reported by the National Climatic Data Center. Round your answers to the nearest whole number. T(d) Number of Tornadoes T 100 80 60 40 20 0 2009 2010 2011 (a) When were the most tornadoes reported? 2011 How many were reported in that year? 79 tornadoes (b) When were the fewest tornadoes reported? 2014 ✔ How many were reported in that year? 5 ✔ tornadoes 2012 2013 2014 d Date: d (c) What was the average yearly rate of decrease in tornadic activity from 2011 to 2012? tornadoes per year (d) What was the average yearly rate of increase in tornadic activity from 2009 to 2011? tornadoes per year (e) What was the average yearly rate of change (that is, the average yearly rate of total increase or total decrease) in tornadic activity from 2009 to 2012? tornadoes per year

2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³t. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.

11. Oliver purchased a luxury sedan for $32,450. After doing some research he discovered the vehicle will depreciate by 6% each year. The function f(x) represents the value of the vehicle after x years since it was purchased. f(x) = 32,450(0.94) Write an equation that can be used to determine when the vehicle will be worth half of what Oliver paid for it. 12. The graph represents f(x) and y = 16,225. What does point A represent in the situation? - nenor AMERON cars on dur