To analyze the situation, we need to understand what the expression \(0.72n\) represents in relation to the original number of viewers \(n\).
- Identify the change: The number of viewers on this Friday is \(0.72n\), which indicates that it is 72% of last Friday's number of viewers \(n\).
- Calculate the decrease: Since the number of viewers decreased from \(n\) to \(0.72n\), we can find the decrease:
- The decrease in the number of viewers is \(n - 0.72n = 0.28n\), which represents a decrease of 28% of \(n\).
Now, we can analyze the provided options:
A. The number of people who watched the movie at the theater decreased by 72%. An equivalent expression that represents this situation is \(n - 0.72n\).
- Incorrect: The number decreased by 28%, not 72%.
B. The number of people who watched the movie at the theater decreased by 28%. An equivalent expression that represents this situation is \(n - 0.28n\).
- Correct: The number did decrease by 28%, and the expression for the decrease is \(n - 0.72n = 0.28n\).
C. The number of people who watched the movie at the theater increased by 28%. An equivalent expression that represents this situation is \(n + 0.28n\).
- Incorrect: There was no increase; the number decreased.
D. The number of people who watched the movie at the theater increased by 72%. An equivalent expression that represents this situation is \(n + 0.72n\).
- Incorrect: The number did not increase.
Therefore, the true statement is:
B. The number of people who watched the movie at the theater decreased by 28%. An equivalent expression that represents this situation is \(n - 0.28n\).