The problem provides a table showing the number of views for two TikTok videos, Video A and Video B, over the first four days (Day 0 to Day 3). The goal is to describe the growth of each video's views.
2025/3/26
1. Problem Description
The problem provides a table showing the number of views for two TikTok videos, Video A and Video B, over the first four days (Day 0 to Day 3). The goal is to describe the growth of each video's views.
2. Solution Steps
Let's analyze the growth of views for each video separately.
Video A:
- Day 0: 500 views
- Day 1: 1000 views
- Day 2: 2000 views
- Day 3: 4000 views
The views are doubling each day. We can express this as an exponential growth. The formula for exponential growth is:
Where:
is the number of views on day
is the initial number of views
is the growth factor
is the day number
In this case, and . So the formula for Video A is:
Video B:
- Day 0: 8000 views
- Day 1: 14000 views
- Day 2: 20000 views
- Day 3: 26000 views
The views are increasing by 6000 each day. This can be expressed as a linear growth. The formula for linear growth is:
Where:
is the number of views on day
is the rate of increase
is the day number
is the initial number of views.
In this case, and . So the formula for Video B is:
The growth of Video A is exponential (doubling each day).
The growth of Video B is linear (increasing by 6000 views each day).
3. Final Answer
Video A's views grow exponentially, doubling each day. Video B's views grow linearly, increasing by 6000 each day.