,MIP1502 Assignment 4 (COMPLETE
ANSWERS) 2025 (721016) - DUE 15 August
2025
Question 1
1.1
Situation 1 (Linear)
1.1.1
Independent variable: Kilometres driven (k)
Dependent variable: Total cost (C)
1.1.2
Function rule: f(k)=230+4.30kf(k) = 230 + 4.30k
1.1.3
Kilometres (k) Total Cost (R)
0 230
10 273
50 445
100 660
1.1.4
(Graph: x-axis = kilometres (k), y-axis = total cost (R). Plot the
points above and draw a straight line.)
, Situation 2 (Non-linear)
1.1.1
Independent variable: Radius (r)
Dependent variable: Area (A)
1.1.2
Function rule: A(r)=πr2A(r) = \pi r^2
1.1.3
Radius (r) Area (πr2\pi r^2)
1 3.14
2 12.57
3 28.27
4 50.27
1.1.4
(Graph: x-axis = radius (r), y-axis = area (A). Plot the curve for
increasing values of r.)
1.2 Diagnosing and Correcting Misconceptions
1.2.1
Misconception: Thabo assumes the relationship is
proportional.
ANSWERS) 2025 (721016) - DUE 15 August
2025
Question 1
1.1
Situation 1 (Linear)
1.1.1
Independent variable: Kilometres driven (k)
Dependent variable: Total cost (C)
1.1.2
Function rule: f(k)=230+4.30kf(k) = 230 + 4.30k
1.1.3
Kilometres (k) Total Cost (R)
0 230
10 273
50 445
100 660
1.1.4
(Graph: x-axis = kilometres (k), y-axis = total cost (R). Plot the
points above and draw a straight line.)
, Situation 2 (Non-linear)
1.1.1
Independent variable: Radius (r)
Dependent variable: Area (A)
1.1.2
Function rule: A(r)=πr2A(r) = \pi r^2
1.1.3
Radius (r) Area (πr2\pi r^2)
1 3.14
2 12.57
3 28.27
4 50.27
1.1.4
(Graph: x-axis = radius (r), y-axis = area (A). Plot the curve for
increasing values of r.)
1.2 Diagnosing and Correcting Misconceptions
1.2.1
Misconception: Thabo assumes the relationship is
proportional.
