NumberDiagram

Growth vs Decay Curves

Part of Growth & DecayGCSE Mathematics

This diagram covers Growth vs Decay Curves within Growth & Decay for GCSE Mathematics. Revise Growth & Decay in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 8 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 3 of 8

Practice

12 questions

Recall

22 flashcards

Growth vs Decay Curves

Time Amount Growth Decay N₀

Key Features:

  • Growth: Starts slowly, accelerates rapidly (J-shaped curve)
  • Decay: Starts rapidly, slows down gradually (reverse J-shape)
  • N₀: Both curves start at the same initial value
  • Both curves are never linear - the rate of change constantly changes

Keep building this topic

Read this section alongside the surrounding pages in Growth & Decay. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Growth & Decay

A quantity increases by 8% each year. Which multiplier should be used for each year?

  • A. 0.08
  • B. 0.92
  • C. 1.08
  • D. 1.8
1 markfoundation

Explain the difference between simple interest and compound interest.

2 marksstandard

Quick Recall Flashcards

What is the formula for half-life decay?
N = N₀ × (0.5)ⁿ Where: N = remaining amount N₀ = initial amount n = number of half-life periods
What is the formula for exponential decay?
N = N₀ × (1 - r)ⁿ Where: N = final amount N₀ = initial amount r = decay rate (as decimal) n = number of time periods

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