ASSIGNMENT 4 2025
UNIQUE NO. 721016
DUE DATE: 15 AUGUST 2025
, Mathematics for Intermediate II
QUESTION 1
1.1 FUNCTIONAL RELATIONSHIPS
Situation 1 (Linear): Rental van costs R230 per day plus R4.30/km.
Situation 2 (Non-linear): Area of a circle depends on radius.
1.1.1 Identify Variables
Situation 1:
o Independent variable (input): Number of kilometres (x)
o Dependent variable (output): Total cost (R)
Situation 2:
o Independent variable: Radius (r)
o Dependent variable: Area (A)
1.1.2 Function Rules
Situation 1: f(x) = 230 + 4.3x
Situation 2: f(r) = πr² (Use π ≈ 3.14)
1.1.3 Tables
Situation 1: Rental Van Cost (Linear Function)
Function:
f(x)=230+4.30x
Real-World Table:
Kilometres Driven (x) Total Cost f(x) = 230 + 4.30x
0 R230.00
50 R445.00