## Wednesday, 31 July 2013

### Linear Graphs - VMC

THE VENDING MACHINE

The above shows a Vending Machine.
Basically there is an input and an output.
It is a one to one function.

1. What are the assumptions made in designing of the vending machine.
2. If a drink cost \$1.50, draw a table of values to show number of bottles against cost.
in the following format
cost (\$)          number of bottles
x                                y
3. Using a piece of graph paper, plot the graph of number of bottles again cost (\$).
That is vertical axis - number of bottles
horizontal axis - cost (\$)
scale :   vertical axis - 2 cm - 1 unit
horizontal axis 1 cm - \$1
4. Record 3 observations that you obtained from the graph.

1. The target audience has physical money. The people around the area need drinks. There is no other source for flavoured drinks. The target audience knows how to operate a vending machine.

2. 1. Assumptions
- 1 cent and 5 cents coins will not be accepted
- Only one drink will come out after payment
- There is change if excess money is inserted
- New coins cannot be inserted
- Only coins can be inserted
- Only one drink can be bought at a time

Chester and Chelsea

3. 1. I will only get what is in the machine, There is no negative amount of money, The customer will not use 5/1 cent coins to purchase anything from the vending machine, Only the older coins are used

-Kimberly and Bg

4. 1. They assume that people who need a drink have money with them at the moment. :)

1. People will know how to use the vending machine.
They assumed people will always have coins with them.
~Nehal & Myat Noe

5. If you pay for 1 drink, one drink will come out.
If you choose a drink, that drink will come out.
If you insert insufficient amount of money, the drink would not come out.

1. If you insert too much money, change will come out.

6. 1. Assumptions
- Strictly one drink will be discharged out of the machine after pay.
- You can only buy one drink per payment.
- Drinks at the back will automatically move up front when the drink in front is bought.
- Change is expected when paying excess money

~Sabrina & Timothy

7. Bryan Lee and Kenric

1.The right drink comes out. The drinks cost the same. Only one bottle comes out per \$1.50. There is change

2.
x 0| 1 |2 | 3 | 4 | 5 | 6 | 7 | 8 |
y 0| 1.50| \$3| \$4.50 | \$6| \$7.50| \$9| \$10.50 | \$12 |

8. 1.
Only one drink is dispensed at a time
Only one drink is released after payment
If extra money is given change is released
Hong Yi and Qayyum

9. 1: There will be no malfunctions
2: 5 cents and 1 cent coins cannot be used.
3. Notes are not accepted.
4. There will be change.
5. The customer know how to use the vending machine.

Kai Cheng & Yu Hin

10. 1.
Only one drink is dispensed at a time
Only one drink is released after payment
If extra money is given change is released
Hong Yi and Qayyum

11. Eunice & Xueqin
Assumption:
- 1 drink discharged per payment
- Change will be given if there is an extra money given
- Different drinks cost different
- The coins accepted: \$0.10, \$0.20, \$0.50, \$1
- Both new and old coins are accepted

12. 3 observations obtained from the graph:
- One bottle costs \$1.50
- \$12 can buy 8 bottles
- The graph is a straight line

13. - The graph is like a staircase because the number of cans is in a discrete number.
- The cost of per can of drink is the same no matter how much you buy.
- The equation is 1.5x=1y