Kyle invests some money in a simple savings fund and the amount increases at a constant rate over

time. He hopes to buy a boat when the investment amount reaches $20 000.

After 3 years the amount is $16 500 and after 6 years the amount is $18 000.

a Find a rule linking the investment amount ($A) and time (t years).

b How much did Kyle invest initially (i.e. when t = 0)?

c How long does Kyle have to wait before he can buy his boat?

d What would be the value of the investment after 12 years?