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.

Assignment: Graphing Exponential Equations (10 points) 1. W e 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 X T icket Price $ 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 dif ferent from the first answer you gave in this question?