6. "Future Site" is an open area waiting for a ride to be built in ten years time. As fairground management you cannot build until your investments have grown enough to finance the project. How should you invest?

Scenario A	Invest $10 000 per month for four years and let the amount grow for the final six years at 5%/a monthly throughout.
Scenario B	Wait the first five years and invest $10 000 per month for the remaining five years at 5%/a monthly throughout.

Table for Scenario A

Table for Scenario B

n (time in months)	Future Value ($)
0	0
12	122 788.55
24	251 859.21
36	387 533.36
48	530 148.85
60	*557 272.27
72	*585 783.38
84	*615 753.17
96	*647 256.27
108	*680 371.13
120	*715 180.21

n (time in months)	Future Value ($)
0	0
12	0
24	0
36	0
48	0
60	0
72	122 788.55
84	251 853.21
96	387 533.36
108	530 148.85
120	680 060.83

* indicates compounded interest growth with now new money invested

A.

Graph Scenario A and Scenario B on the same set of axes.

B.

Create an equation for the data in Scenario B using function notation to express your answer. Use the form FV(n) = ?, where "FV" is the future value after "n" months of investing.

C.

i)	Identify the input variable?
ii)	Identify the output variable?
iii)	Is FV(n) a function? State your reasoning.
iv)	If the domain is restricted to 0 = n = 48 months for Scenario A, what is the range for Scenario A?