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

,MIP1502 Assignment 4 (COMPLETE
ANSWERS) 2025 (721016) - DUE 15 August
2025
Question 1
1.1.1 Identify the independent and dependent variables:
 Situation 1 (Linear):
o Independent variable: Number of kilometres driven
(x)
o Dependent variable: Total rental cost (y)
 Situation 2 (Non-linear):
o Independent variable: Radius of the circle (r)
o Dependent variable: Area of the circle (A)
1.1.2 Function notation:
 Situation 1 (Linear): C(x)=230+4.30xC(x) = 230 + 4.30x
 Situation 2 (Non-linear): A(r)=πr2A(r) = \pi r^2
1.1.3 Table of values:
Situation 1 (Linear):
Kilometres (x) Cost (C(x))
0 230
10 273

, Kilometres (x) Cost (C(x))
50 445
100 660
Situation 2 (Non-linear):
Radius (r) Area (A(r))
1 3.14
2 12.57
3 28.27
4 50.27
1.1.4 Graph (to be drawn manually):
 Linear graph: straight line starting at (0, 230)
 Non-linear graph: upward curve starting from (0, 0)


1.2 Thabo's Misconception
1.2.1
Thabo assumed the cost is directly proportional to distance,
ignoring the fixed R230 base cost. He applied proportional
thinking to a non-proportional linear function.
1.2.2
"Thabo, you forgot that the rental van costs R230 even before