MIP1502 Assignment 4 ANSWERS 2025 - DUE 15 August 2025

MIP1502
ASSIGNMENT 4
DUE : 15 AUGUST 2025

,MIP1502 Assignment 4 2025

Unique number: 721016

Due date: 15 August 2025



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.



1.1.1 Identify the independent variable (input) and the dependent variable
(output).

1.1.1 Independent vs. dependent

 Independent variable (input) - number of kilometres driven, call it x
 Dependent variable (output) - total cost in rands, call it f(x)



1.1.2 Function rule

F(x) = 230 + 4.30 x.f

230 is the fixed daily rate and 4.30 R per kilometre.

, 1.1.3 Table of values



r (units) A(r)=πr2 (square units) Approximate value



1 π⋅12=π 3,143




2 π⋅22=4π 12,56




3 π⋅32=9π 28,27




4 π⋅42=16π 50,27




Misconception to watch for



Learners sometimes think “doubling the radius doubles the area.” But since A∝r2,
doubling r makes the area four times as big.



Possible learning activity (aligned to CAPS, Intermediate Phase)


Hands-on circles: Give each learner two circle templates of different radii e.g. radius
2 cm and 4 cm.