MIP1502 Assessment 4 2025 (721016)

MIP1502
ASSIGNMENT 4 2025

UNIQUE NO. 721016
DUE DATE: 15 AUGUST 2025

,IP1502 Assignment 4 (2025)

QUESTION 1

1.1 FUNCTIONAL RELATIONSHIPS

Situation 1 (Linear): A rental van costs R230 per day plus R4.30 per kilometre.

Situation 2 (Non-linear): The area of a circle depends on the radius length.




1.1.1 Identify Variables

 Situation 1:
o Independent Variable (Input): Kilometres driven (x)
o Dependent Variable (Output): Total cost in Rands (f(x))
 Situation 2:
o Independent Variable: Radius of the circle (r)
o Dependent Variable: Area of the circle (A)




1.1.3 Table of Values

 Situation 1 (Rental Cost Table):

, Kilometres (x) Total Cost f(x) = 230 + 4.3x

0 R230

50 R445

100 R660

150 R875


 Situation 2 (Area Table):


Radius (r) Area f(r) = πr²

1 3.14

2 12.56

3 28.26

4 50.24




1.1.4 Sketch Graphs

 Situation 1: Straight line starting at R230 and increasing steadily (linear growth).
 Situation 2: Parabolic curve starting at 0 and steepening as radius increases
(non-linear growth).




1.2 MISCONCEPTION AND REMEDIATION

Scenario: Thabo calculates the cost of a 100 km trip as:

100×4.30=R430100 \times 4.30 = R430100×4.30=R430