The expression 5.43 + 0.20x models the average price of a movie ticket in the US, incrementing annually since 2000. To find the average price for a specific year, replace x with the number of years elapsed since 2000.
The question relates to the modeling of the average price of a movie ticket in the United States over a period using a linear expression. The expression 5.43 + 0.20x is used, where x represents the number of years since 2000. This is a straightforward linear model that assumes a constant increase in the cost of movie tickets each year since 2000.
To use the model, you simply substitute the number of years since 2000 into the variable x and calculate the corresponding average movie ticket price.
For example, to find the average price in 2015, you would let x be 15 (since 2015 is 15 years after 2000) and calculate as follows: 5.43 + 0.20(15) = 5.43 + 3.00 = 8.43. Therefore, the modeled average price of a movie ticket in 2015 would be $8.43.