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IB Maths AI SL 2.6 Modelling Process Questions

Practise IB Maths AI SL 2.6 by identifying assumptions, choosing variables and checking whether an applied model fits its context.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation SL
Level
SL

Exam points

  • Identify variables, units, initial conditions and a reasonable domain for an applied function model.
  • Determine model parameters from data, points, initial conditions or technology and use the resulting model to predict.
  • Test, reflect on and interpret the model against data or context, explaining limitations and the danger of extrapolation.

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Study SL 2.6—Modelling process conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AI SL 2.6 Modelling Process Questions question 1

[Maximum number: 2]

The mean annual temperatures for Earth, recorded at fifty-year intervals, are shown in the table.

Table for Question IB Maths AI SL 2.6 Modelling Process Questions question 1 — IB Maths AI SL

Tami creates a linear model for this data by finding the equation of the straight line passing through the points with coordinates (1708,8.73) and (1958,9.45).

Thandizo uses his regression line to predict the year when the mean annual temperature will first exceed 15∘C15^{\circ} \mathrm{C}.

State two reasons why Thandizo's prediction may not be valid.

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