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1.6.9 Modelling using exponential functions

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What pattern over equal time intervals suggests an exponential model?

A

The same proportional change each interval.

B

A decay model with half-life hhh is P=P0(12)t/h\boxed{P=P_0\left(\frac12\right)^{t/h}}P=P0​(21​)t/h​.

C

A constant ratio between consecutive values.

D

For P=P0ektP=P_0e^{kt}P=P0​ekt with k>0k>0k>0, the doubling time is ln⁡2k\boxed{\frac{\ln 2}{k}}kln2​​.

Card 1 of 20

1.6.9 Modelling using exponential functions Flashcards

  1. A Level
  2. /Maths
  3. /1.6.9 Modelling using exponential functions

20 flashcards on OCR A Level Maths 1.6.9 Modelling using exponential functions: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

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