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.
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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).
2. Answer these questions:
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What is the y-intercept?
Is this growth or decay?
3. Use the extended curve below to predict the ticket prices in the following years:
2000 (x = 50)
2010 (x = 60)
Are these prices reasonable?
4. 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?
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?
