MIP1502 Assignment 4 (COMPLETE ANSWERS) Semester 2 2025 (721016) - DUE 15 August 2025

,MIP1502 Assignment 4 (COMPLETE ANSWERS)
Semster 2 2025 (721016) - DUE 15 August 2025;
100% TRUSTED Complete, trusted solutions and
explanations.

Question 1

This question requires you to move beyond simply solving mathematical
problems. You will analyse functional relationships, diagnose a common
learner misconception based on the principles in your learning material, and
design a learning activity that aligns with the CAPS curriculum for the
Intermediate Phase.

1.1 Consider the two real-world situations below. The first represents a
linear function, and the second represents a non-linear function.

• Situation 1 (Linear): A rental van costs R230 per day plus R4,30 per
kilometre driven.

• Situation 2 (Non-linear): The area of a circle depends on the length of its
radius.

For each situation, you must:

1.1 Functional Relationships

Situation 1: Rental Van (Linear Function)

 1.1.1 Independent and Dependent Variables (1 mark)
o Independent Variable: Kilometres driven (𝑘)
o Dependent Variable: Total rental cost (𝑓(𝑘))
 1.1.2 Function Rule (1 mark)
o 𝑓(𝑘) = 230 + 4.30𝑘
 1.1.3 Table of Values (1 mark)

, Kilometres (k) Total Cost (R)
0 230
10 273
50 445
100 660

 1.1.4 Graph Sketch (1 mark)
o A straight line starting at (0, 230) and increasing with a constant
slope.
o X-axis: Kilometres driven
o Y-axis: Total cost in Rands




Situation 2: Area of a Circle (Non-linear Function)

 1.1.1 Independent and Dependent Variables (1 mark)
o Independent Variable: Radius of the circle (𝑟)
o Dependent Variable: Area of the circle (𝐴)
 1.1.2 Function Rule (1 mark)
o 𝐴(𝑟) = π𝑟²
 1.1.3 Table of Values (1 mark) (Use π ≈ 3.14)

Radius (r) Area (A = πr²)
1 3.14
2 12.56
3 28.26
4 50.24

 1.1.4 Graph Sketch (1 mark)
o A curve starting from the origin (0,0) and increasing faster as r
increases (parabola-like shape).
o X-axis: Radius
o Y-axis: Area