Name: Day 18 Homework For each of the following scenarios, choose the appropriate choice that best answer the question. 1 (minutes) 0 4 9 15 20 W() (degrees Fahrenheit) 55.0 $7.1 61.8 67.9 71.0 The temperature of water in a tub at time / is modeled by a strictly increasing, twice-differentiable function W, where W() is measured in degrees Fahrenheit and / is measured in minutes. At time / = 0, the temperature of the water is 55'F. The water is heated for 30 minutes, beginning at time ? = 0. Values of W() at selected time / for the first 20 minutes are given in the table above. Using the data in the table, it is estimated that W'(12) = 1.017. Using correct units, interpret the meaning of your answer in the context of this problem. (A) The temperature of the water at time ? = 12 minutes is 1.017'F. (B) The water temperature is increasing at a rate of approximately 1.017 F per minute at time ? = 12 minutes. C) The average temperature of the water at time t = 12 minutes is 1.017'F. (D) The change in the temperature of the water from time t = 0 to t = 12 minutes is 1.017"F. 2. v(1) 0.3 -0.1 Daronda rides her bicycle along a straight road from home to school, starting at home at time t = 0 minutes and arriving at school at time t = 12 minutes. During the time interval 0St $12 minutes, her velocity v(t), in miles per minute is modeled by the piecewise-linear function whose graph is shown above. Find the acceleration of Daronda's bicycle at time t = 7.5 minutes. Indicate units of measure and interpret its meaning in the context of the problem. Which of the following would earn full credit on the AP Calculus Exam? (A) a(7.5) = v'(7.5) =-1 miles per minute per minute. Daronda's velocity was decreasing by 1 mile per minute per minute at time t = 7.5 minutes. (B) a(7.5) = v'( 7.5) = - 0.2-0.3 8-7 -=-0.1. Daronda's velocity was decreasing by 0.1 miles per minute at time t = 7.5 minutes. (C) a(7.5) = v'(7.5) = 0.2-0.3 = -0.1. Daronda's velocity was decreasing by - 0.1 miles per minute per minute at 8- 7 time t = 7.5 minutes. (D) a(7.5) = v'(7.5) = 0.2-0.3 -= -0.1. Daronda's velocity was decreasing by 0.1 miles per minute per minute at 8-7 time 1 = 7.5 minutes.3. Let P(r) represent a population of a city in millions of people and / represent the number of years since 2010. Which of the following statements correctly and thoroughly interprets the meaning of P'(2) = =? (A) The population in 2010 is growing by half a million people. (B) The population in 2010 is growing by half a million people per year. (C) The population in 2012 is growing by half a million people. (D) The population in 2012 is growing by half a million people per year. 4. Grass clippings are placed in a bin, where they decompose. For 0 St