MIP1502 Assignment 4 (721016)|COMPLETE ANSWERS & CALCULATIONS|- Due 15 August 2025

MIP1502
Assignment 4

Unique No: 721016
Due 15August 2025

, Assignment 4: Compulsory

Contributes 25% to the year mark

Unique number: 721016

Due date: 15 August 2025

Question 1

1.1 Functional Relationships

Situation 1 (Linear): A rental van costs R230 per day plus R4,30 per kilometre driven.
Situation 2 (Non-linear): The area of a circle depends on the length of its radius.

1.1.1 Identify Variables

• Situation 1

o Independent variable (input): Number of kilometres driven (let’s use 𝑥)
o Dependent variable (output): Total cost of the rental (let’s use 𝐶)

• Situation 2

o Independent variable (input): Radius of the circle (let’s use 𝑟)
o Dependent variable (output): Area of the circle (let’s use 𝐴)

1.1.2 Function Notation

• Situation 1 (Linear Function):

𝐶(𝑥) = 230 + 4.30𝑥

• Situation 2 (Non-linear Function):

𝐴(𝑟) = 𝜋𝑟 2

1.1.3 Table of Values

• Situation 1: Cost of Van Rental

, Kilometres Driven (x) Total Cost C(x) = 230 + 4.30x

0 R230.00

10 R273.00

50 R445.00

100 R660.00

• Situation 2: Area of Circle

Using 𝜋 ≈ 3.14

Radius (r) Area A(r) = πr²

1 3.14

2 12.56

3 28.26

4 50.24

1.1.4 Graphs

Note: In the actual submission, include two hand-drawn or digitally plotted graphs on
separate sets of axes.