Section 12 - Exponential functions
The topic of exponential functions has been broken down into the following sections:
- 12A - Index laws
- 12B - Solving exponential equations
- 12C - Graphing exponential functions
- 12D - Logarithmic properties and laws
- 12E - Logarithmic equations
- 12F - Graphing logarithmic functions
- 12G - Exponential and logarithmic functions are inverses
- 12H - Applications of exponential and logarithmic functions
Setting the scene: Global population growth
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Desmos Activity |
The Desmos graph below shows the global population, \(P\) in billions, \(t\) years after 1820. Therefore, the coordinates \((150, 4)\) represents a population of 4 billion people in 1970. The red line at \(t=235\) is the year when Bertrand Zorbrist claims there will be "32 billion people will fight to survive" in the movie clip above. Using the exponential model, \(P(t)=Ae^{kt}+c\), where \(A\), \(k\) and \(c\) are real constants, evaluate Zorbrist's claim. |
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