Population Growth and Exponential Decay

Population growth and radioactive decay

Weather patterns and climate change

Chemical reactions and physics

Interest rates and inflation

Logarithmic model

Quadratic model

Linear model

Exponential growth model

247 million

203 million

150 million

300 million

To calculate the birth rate

To find the death rate

To predict future population

To determine the initial population

By multiplying both sides by K

By adding K to both sides

By dividing both sides by K

By taking the natural logarithm of both sides

340 million

300 million

400 million

250 million

Linear decay

Exponential decay

Quadratic decay

Logarithmic decay

100 years

25 years

10 years

50 years

By subtracting the half-life from the initial amount

By adding the half-life to the initial amount

By dividing the natural log of 0.5 by the half-life

By multiplying the half-life by 2

10g

18g

2.26g

5g