AQA A Level Maths: Pure复习笔记3.1.4 Modelling with Straight Lines

Modelling with Straight Lines

 

What is modelling with straight lines?

  • Modelling means applying the mathematics to a real-life situation
  • The model is used to find or predict future values
  • Models will often need refining to improve their accuracy

3.1.4-Modelling-with-Straight-Lines-Notes-Diagram-1

How do I work with straight line models?

  • Turn the words from the question into mathematical equations
  • In y = mx + c constants “m” and “c” will have a meaning
    • gradient “m” will be the rate of change
    • eg extension in a spring per 1 kg of mass added
    • y-axis intercept “c” will be the initial value
    • eg resting length of a spring

     

3.1.4-Modelling-with-Straight-Lines-Notes-Diagram-2

  • The skills needed are covered in the other pages of the section Equation of a Straight Line

Worked Example

3.1.4-Modelling-with-Straight-Lines-Example-Diagram

转载自savemyexams

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