11. Mr. Turner's level of happiness goes up and down, depending on the time of day. Brilliant scientists wired up his brain and measured his "happiness units" (hu) at 2 hour intervals during the day. The chart below shows his "hu" measurements at various times in the day. The pattern repeats itself every 24 hours. Time (hour) 0 24 midnight am am am 6 B 10 am am 12 14 16 18 20 22 24 noon 2 pm 4 pm 6 pm 8 pm 10pm midnight Happiness (hu) 2.1 3.3 5.0 6.7 7.9 84 7.9 6.7 5.0 3.3 2.0 1.6 2.1 a) Plot a graph of happiness (in hu) versus time (in hours), over a 48 hour interval, using ordered pairs from the table. (2) Hap (hu) 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 Time(h) b) Determine an equation for happiness (H) as a function of time (x). Show work (3) c) Using the equation, determine Mr. Turner's happiness level at 7:45 am. (1)