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):