To analyze the situation, we can evaluate the expression \(0.72n\), which represents the number of people who watched the same movie this Friday compared to last Friday, where \(n\) was the number of viewers last Friday.
-
Finding the Difference:
- Last Friday: \(n\)
- This Friday: \(0.72n\)
-
Decrease Calculation: To find out how much the viewership has decreased, we can calculate: \[ n - 0.72n = 0.28n \] This means that the number of viewers decreased by \(0.28n\), which represents a decrease of 28% relative to \(n\) because: \[ \frac{0.28n}{n} \times 100% = 28% \]
Thus, the number of viewers decreased by 28%, making the corresponding equivalent expression \(n - 0.28n\).
Now, let's analyze each option:
- Option A: Incorrect. It states a decrease of 72%, which is incorrect.
- Option B: Correct. It states a decrease of 28% and provides the equivalent expression \(n - 0.28n\).
- Option C: Incorrect. It states an increase of 72%, which is not applicable to the given scenario.
- Option D: Incorrect. This option implies an increase by 28%, which is not correct for the situation.
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 \(n - 0.28n\).
1 answer