Mathematics for Intermediate Phase Teachers II
MIP1502
STUDENT NUMBER:
STUDENT NAMES:
Assignment 4: Compulsory
Contributes 25% to the year mark
Unique number: 721016
Due date: 15 August 2025
Year module
Department of Mathematics Education
, QUESTION 1
1.1 Analysing Functional Relationships
1.1.1 Identify Variables:
Situation 1 (Linear):
Independent variable: Distance travelled (in km)
Dependent variable: Total cost (in Rands)
Situation 2 (Non-linear):
Independent variable: Radius of the circle
Dependent variable: Area of the circle
1.1.2 Function Rules:
Situation 1: f(x) = 230 + 4.30x (Total cost as a function of km)
Situation 2: g(r) = πr²(Area as a function of radius)
1.1.3 Tables of Values:
Linear Function Table: Van Rental
Total Cost f(x) =
230 + 4.30x
Kilometres (x)
0 230
50 445
100 660
150 875
Non-Linear Function Table: Area of Circle
Radius (r) Area g(r) = πr²
1 3.14
2 12.57
3 28.27
4 50.27
MIP1502
STUDENT NUMBER:
STUDENT NAMES:
Assignment 4: Compulsory
Contributes 25% to the year mark
Unique number: 721016
Due date: 15 August 2025
Year module
Department of Mathematics Education
, QUESTION 1
1.1 Analysing Functional Relationships
1.1.1 Identify Variables:
Situation 1 (Linear):
Independent variable: Distance travelled (in km)
Dependent variable: Total cost (in Rands)
Situation 2 (Non-linear):
Independent variable: Radius of the circle
Dependent variable: Area of the circle
1.1.2 Function Rules:
Situation 1: f(x) = 230 + 4.30x (Total cost as a function of km)
Situation 2: g(r) = πr²(Area as a function of radius)
1.1.3 Tables of Values:
Linear Function Table: Van Rental
Total Cost f(x) =
230 + 4.30x
Kilometres (x)
0 230
50 445
100 660
150 875
Non-Linear Function Table: Area of Circle
Radius (r) Area g(r) = πr²
1 3.14
2 12.57
3 28.27
4 50.27
