IB Maths AI SL 2.5 Modelling with Functions Questions

Practise selecting and using linear, quadratic, exponential, piecewise or sinusoidal models, interpreting parameters, checking domains and evaluating model fit.

Exam points

Select and use an appropriate linear, piecewise, quadratic, exponential, variation, cubic or sinusoidal model for a real situation.
Interpret model parameters such as roots, vertex, asymptotes, amplitude, period or principal axis and use them to predict a quantity.
Use technology or fitted parameters to calculate a prediction, checking the input/output domain and units.
Evaluate model fit, assumptions, uncertainty and the consequences of using the model beyond its supported range.

Learn this topic

Study SL 2.5—Modelling with functions conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 5]

The Scheveningen Ferris wheel's lowest point is 8 m above sea level, and its highest point is 45 m above sea level.

Figure for Question IB Maths AI SL 2.5 Modelling with Functions Questions question 1 — IB Maths AI SL

(a)

Find the value of b.

[ 1 ]

$\quad\left(b=\frac{360}{15}=\right) 24$

(b)

Find the value of d.

[ 2 ]

$\frac{\max +\min }{2}$

\begin{aligned} & (d=) \frac{45+8}{2} \text { OR } 45-18.5 \text { OR } 8+18.5 \\ & =26.5 \end{aligned}

(c)

Hence, write down the equation of the sinusoidal model.

[ 2 ]

$h(t)=18.5 \sin (24 t)+26.5$

Note: Award A1 for 18.5 seen as parameter a, A1 for a completely correct equation (including LHS).

All question bank results loaded

Learn this topic

IB Maths AI SL 2.5 Modelling with Functions Questions question 1

Question (a)

Question (b)

Question (c)