Applications of Exponentials (Grade 11 NSC Matric Mathematics): Flashcards

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Applications of Exponentials
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Two uses of exponential functions

Population growth & calculating interest

How exponential growth increases

Same percentage over equal time intervals

What stays constant in exponential growth?

Percentage increase (not absolute amount)

Exponential growth formula

Initial ×(1+rate)time\times (1 + \text{rate})^{\text{time}}

Express 80% growth rate as decimal

0.8

Time units requirement in formula

Must match growth rate period

Growth factor formula

(1+growth rate)(1 + \text{growth rate})

How to write very large results?

Scientific notation

Conversion: 1 day to hours

24 hours

Conversion: 1 year to months

12 months

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