MIP1502 Assignment 4 2025 (Exceptionally Crafted) DUE 15 August 2025.

MIP1502
Assignment 4

Due 15 August 2025

,Student Name: MIP1502 Assignment 4


MIP1502 Assignment 4
Due Date:15 August 2025



Question 1

1.1 Analysis of Real-World Situations

1.1.1 Identify Independent and Dependent Variables (2)

Situation 1 (Rental Van – Linear):
Independent Variable: Distance driven (kilometres, k)
Dependent Variable: Total cost (Rands, C)
Why: The cost depends on the distance driven, in addition to a fixed fee.

Situation 2 (Circle Area – Non-linear):
Independent Variable: Radius length (metres, r)
Dependent Variable: Area (square metres, A)
Why: The area is calculated using the formula A = πr2 , showing it depends on the
radius.


1.1.2 Function Rules (2)

Situation 1: f (k) = 4.3k + 230
Why: Represents R4.30 per kilometre plus a fixed R230 rental fee.

Situation 2: f (r) = πr2
Why: Standard formula for the area of a circle based on radius.




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, Student Name: MIP1502 Assignment 4


1.1.3 Tables of Values (2)

Situation 1 (Rental Van):


k (km) C = 4.3k + 230 (R)
50 445
100 660
150 875
200 1090


Situation 2 (Circle Area, using π ≈ 3.14):


r (m) A = πr2 (m2 )
1 3.14
2 12.56
3 28.26
4 50.24


1.1.4 Graphs (2)

Situation 1: Rental Van – Linear Function

1,090 C = 4.3k + 230

875
Cost (R)




660

445

230

0
0 50 100 150 200
Distance (km)

Graph of Rental Van Cost vs. Distance




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