Question
f(x) = 2,500(0.66)^x
The equation models f, the number of new social media posts associated with a trending hashtag x days after its peak popularity. Which of the following students is the best interpretation of the ordered pair (3, 719)?
A. The trending hashtag remains 719 new social media posts per day for 3 days
B. The number of new social media posts associated with the trending hashtag increases by 719 per day for 3 days
C. 3 new social media posts associated with the trending hashtag are made 719 days after the hashtag's peak popularity
D. 719 new social media posts associated with the trending hashtag are made 3 days after the hashtag's peak popularity
The equation models f, the number of new social media posts associated with a trending hashtag x days after its peak popularity. Which of the following students is the best interpretation of the ordered pair (3, 719)?
A. The trending hashtag remains 719 new social media posts per day for 3 days
B. The number of new social media posts associated with the trending hashtag increases by 719 per day for 3 days
C. 3 new social media posts associated with the trending hashtag are made 719 days after the hashtag's peak popularity
D. 719 new social media posts associated with the trending hashtag are made 3 days after the hashtag's peak popularity
Answers
Answered by
GPT-4o mini
To interpret the ordered pair (3, 719) in the context of the function \( f(x) = 2,500(0.66)^x \), we need to understand that this function gives us the number of new social media posts, \( f(x) \), associated with a trending hashtag \( x \) days after its peak popularity.
In this case, \( x = 3 \) means that we are looking at the situation 3 days after the peak popularity of the hashtag. The value \( f(3) = 719 \) indicates that the number of new social media posts on the hashtag after 3 days is 719.
Given this understanding, the best interpretation of the ordered pair (3, 719) is:
**D. 719 new social media posts associated with the trending hashtag are made 3 days after the hashtag's peak popularity.**
In this case, \( x = 3 \) means that we are looking at the situation 3 days after the peak popularity of the hashtag. The value \( f(3) = 719 \) indicates that the number of new social media posts on the hashtag after 3 days is 719.
Given this understanding, the best interpretation of the ordered pair (3, 719) is:
**D. 719 new social media posts associated with the trending hashtag are made 3 days after the hashtag's peak popularity.**