Assignment: Graphing Exponential Equations (10 points)

1. We mentioned how the price of movie tickets has increased over time with inflation in Unit 6. Lets 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
Ticket Price $	Y

1. Answer these questions:

Do these prices look reasonable?

What is the y-intercept?

Is this growth or decay?

1. Graph the points on the graph provided and draw a smooth curve to represent the graph of the equation.

1. Use the extended curve below to predict the ticket prices in the following years:

• 2000 (x = 50)
• 2010 (x = 60)
• Are these prices reasonable?

1. 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 question?