Exponential and logarithmic models
Answers are for parents and teachers.
1
A mobile app has 40 000 users and the number grows 5 % per month. How many users will there be after 2 months?
44100
2
A substance of 160 g has a half-life of 4 days. How many grams remain after 12 days?
20
3
Earthquake intensities are 10⁶ and 10³. How many times stronger is the first?
1000
4
One cell divides into two every hour. After how many hours does the count first exceed 1000?
10
5
How do linear and exponential growth differ? Give an example.
Linear growth adds the same amount each period (e.g. +5), exponential growth multiplies by the same factor (e.g. ×2), so it speeds up.