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1. Given the function, f (x) = 4x2 5x + 1, find the average rate of change over the following intervals. aJZSxS4 b)2x2.5 c)2xSZ.01 2. At the latest release for the new iPhone model, the number of people in the line up was measured and recorded in the following table. u------ Determine the average rate of change for each hour. b) What do these numbers represent? c] What do positive and negative numbers mean in this context? 3. What is the average rate of change in the values of the function f (x) = 4x from: a] x = 2 to x = 6 b) x = 2 to x = 26 c) What do these results indicate? 4. Mathville has taken a census every 10 years, and recorded its population in the following table. Year 1960 1970 1980 1990 2000 2010 2020 Population 5 10 20 40 80 160 320 (thousands) a] Calculate the average rate ofchange in the population between 1960 and 1980. b) Calculate the average rate of change in the population between 1980 and 2000. c] Calculate the average rate ofchange in the population between 1960 and 2020. d] Is the population growth constant? 5. During the Apollo 14 mission, Alan Shepard hit a golfball on the Moon. The function ML\") 2 5t 0.3 t2 models the height ofthe golf ball's trajectory on the Moon, where Mr) is the height, in metres, of the ball above the surface of the Moon and t is the time in seconds. Determine the average rate of change in the height of the ball over the time interval 10 S t S 15. 6. Vehicles lose value over time. A car is purchased for $23 500, but is worth only $8750 after eight years. What is the average annual rate of change in the value of the car, as a percent