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.

AlgebraExponential GrowthLinear GrowthModelingFunctions
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:
y=abxy = a * b^x
Where:
yy is the number of views on day xx
aa is the initial number of views
bb is the growth factor
xx is the day number
In this case, a=500a = 500 and b=2b = 2. So the formula for Video A is:
y=5002xy = 500 * 2^x
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:
y=mx+cy = mx + c
Where:
yy is the number of views on day xx
mm is the rate of increase
xx is the day number
cc is the initial number of views.
In this case, m=6000m = 6000 and c=8000c = 8000. So the formula for Video B is:
y=6000x+8000y = 6000x + 8000
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.