Viral Video
Credit: Lisa Yan
File: viral_video.py
You are looking to get TikTok viral on Planet Earth! Write a program that takes two things as input: (1) a target view count, and (2) a growth rate. Your program will then compute the number of days it takes you to reach your target viewer count, like below (user input highlighted in blue):
An example with (1) view count as 100 and (2) growth rate as 3.
Growth Rate
Every day, your total view count multiples by the above growth rate. In the above example, your exponential growth rate is 3, meaning:
- On Day 1, you start with 1 view (yourself).
- On Day 2, this grows to 3 views.
- On Day 3, this grows to 9 views.
... and so on.
Try out your program in viral_video.py!
Exponential growth rate
This pattern of growth is called an exponential growth rate and is a mathematical function used to describe viral video viewcounts, money investments, spread of diseases, and more. Some examples:
- The exponential growth rate of a good savings acocunt is around 1.01 per year.
- The exponential growth rate of the annual flu (i.e., influenza) is about 1.3 per person.
- COVID-19 has an exponential growth rate of between 3.28 to 9 per person.