Solutions to Case Studies from Module 5 NCV 2 Mathematical Literacy Hands-On Training published by Future Managers (www.futuremanagers.net)

1. Mathematical Literacy 2
Module 5
Answers to Case Studies
Answers to case studies module 5 Future Managers 1

2. Case Study: Metro Bus
• Study the Johannesburg Metro Bus Company’s
table of fares as published on their website. In a
group, study the various tables and the follow
the instructions and answer the questions.
1.With the same zone, compare the prices of
different types of tickets with each other.
Calculate the differences in prices between the
tickets.
Answers to case studies module 5 Future Managers 2

3. Zone 1 R0,40 R0,30 R0,34 R0,17 -R0,03 R0,34
Zone 2 R0,50 R1,02 R0,46 R0,23 -R0,51 R0,49
Zone 3 R0,70 R1,00 R0,62 R0,30 -R0,46 R0,63
Zone 4 R0,80 R1,69 R0,76 R0,39 -R0,65 R0,77
Zone 5 R1,00 R2,26 R0,92 R0,45 -R0,72 R0,91
Zone 6 R1,30 R2,72 R1,04 R0,54 -R0,51 R0,91
Zone 7 R1,40 R3,04 -R0,36 -R0,21 R0,87 R0,29
Zone 8 R1,40 R3,04 -R0,32 -R0,31 R0,96 R0,33
Answers to case studies module 5 Future Managers 3

4. 1. Did the Johannesburg Bus Company use a
constant variable to determine the:
- Overall fares
No
- Between the monthly fares?
No
Answers to case studies module 5 Future Managers 4

5. 1. Which option is the cheapest irrespective of an
individual’s specific circumstances?
A monthly 52 in Zone 1
5. And which one is the most expensive?
A once off to zone 8
Answers to case studies module 5 Future Managers 5

6. 5.Which “ticket options” and for which “zones” do
not make sense or should be avoided altogether?
In zones 1-6: The monthly 44 should be
avoided
In zones 7-8: The weekly 12 and monthly 14
should be avoided
Answers to case studies module 5 Future Managers 6

7. 6.Compile a more consistent formula for the
Johannesburg Metro if your input value (x) is the
number of trips and your output value is the
price they should charge.
Answers to case studies module 5 Future Managers 7