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4. A student banks $200 when she starts Secondary College in Year 7. In Year 8 she banks $250, $300 in Year 9, and so on. She is at the school for 6 years.
(a) Determine a formula relating the amount deposited during a year (200, 250,…) to how many years she has have been saving (1, 2, …).
Because the deposits are increasing, the formula for the bank balance is more complex and is not a ‘linear relationship’. Answer the following using a table:
(b) What is the total amount she has banked by the time she finishes after 6 years?
(c) If she continued banking in this manner after she leaves school, how many years
(from the start) will it take for her balance to exceed $15,000?