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MIP1502 Assignment 4 (COMPLETE ANSWERS) 2025 – DUE 15 August 2025; 100% correct solutions and explanations.

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MIP1502 Assignment 4 (COMPLETE ANSWERS) 2025 – DUE 15 August 2025; 100% correct 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: 1.1.1 Identify the independent variable (input) and the dependent variable (output). (2) 1.1.2 Write a function rule using function notation (e.g.,

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, MIP1502 Assignment 4 (COMPLETE ANSWERS)
2025 – DUE 15 August 2025; 100% correct solutions
and explanations.
QUESTION 1

1.1 Functional Analysis

Situation 1 (Linear):

Van rental — R230 per day + R4,30 per km

1.1.1 Variables:

 Independent variable (input): Distance driven in kilometres (x)
 Dependent variable (output): Total rental cost in rand (C)

1.1.2 Function rule:

C(x)=230+4.30xC(x) = 230 + 4.30xC(x)=230+4.30x

1.1.3 Table of values:

Distance xxx (km) Cost C(x)C(x)C(x) (R)
0 230.00
50 445.00
100 660.00
150 875.00

1.1.4 Graph:

 x-axis: Distance driven (km)
 y-axis: Total cost (R)
 Straight line starting at (0, 230), slope 4.304.304.30.



Situation 2 (Non-linear):

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