Basics
What is the general form of an exponential growth function?
A(1 + r)^t
Population doubles every year. This is the growth factor.
2 Bro
Start with 90 and decay by 10% for 2 steps.
72.9
A value starts at 50 and increases 4% each step. What is it after 3 steps?
56.24
2(3)^x = 54
x=3
If b > 1, the function represents this.
exponential growth?
A population starts at 100 and triples each year. Write the equation.
100(3)^x
A population of 500 decreases by 10% per year. How many are left after 1 year?
450
A value starts at 120 and decays by 50%. What is it after 1 step?
Rewrite as exponential: \log_2 8 = 3
2^3 = 8
If 0 < b < 1, the function represents this.
What is exponential decay?
A quantity grows by 20% per year. This is the growth factor.
1.2
A phone battery is at 100% and loses 20% each hour. What is left after 2 hours?
64%
A population starts at 200 and grows by 10% each year. What is it after 2 years?
242
A value starts at 200 and decreases by 20% each step. What is it after 1 step?
160
5(2)^x
5
If a population doubles every 3 years, is this growth or decay?
Growth
Start with 20, cut in half once.
10
A phone battery is 100% and loses 10% per hour. How much remains after 2 hours?
81%
A substance starts at 300 and decays by 25% each step. What is it after 2 steps?
168.75
5(1.2)^t, what is the growth rate?
20%
A quantity grows by 8% annually. What is the multiplier?
0.08
A substance starts at 50 grams and loses 6% each hour. How much remains after one hour?
47 grams
A iPad starts at 250 and decays by 12% each year. What is the value after 3 years?
170.36
A value starts at 1000 and decays by 15%l after 2 yrs.
722.5