Assignment: Graphing Exponential Equations (10 points) 1. We mentioned how the price of movie tickets has increased over time with inflation in Unit 6. Let's let the equation y = 0.50(1.06)x represent the price of movie tickets for the years after 1950. Using this equation, fill in the following T-table for the years 1950, 1960, 1970, 1980, and 1990. Use X = 0, 10, 20, 30, and 40 to represent these years (the number of years after 1950). # years after 1950 Ticket Price $ X Y 2. Answer these questions: Do these prices look reasonable? What is the y-intercept? Is this growth or decay? 3. Graph the points on the graph provided and draw a smooth curve to represent the graph of the equation. 4. Use the extended curve below to predict the ticket prices in the following years: 2000 (x = 50) 2010 (x = 60) Are these prices reasonable? 5. Answer these questions: What is the average price of a movie ticket where you live? What is the price of a matinee? Substitute the number of years after 1950 that it is right now into the equation y = 0.50(1.06)x. (For instance, if it is 2006, use x = 56.) What answer did you get? Why do you think this is the same or different from the first answer you gave in this