Suppose you deposit $200$ dollars into a bank with $6 \%$ simple interest. The amount in the account after $t$ years is given by $A(t) = 200 (1.06)^t$ (in dollars).

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1. What is the average rate of change for the first year?
Rate (in dollars per year):

2. What is the average rate of change for the first five years?
Rate (in dollars per year):

3. What is the average rate of change for the first ten years?
Rate (in dollars per year):

4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?
choose one increases decreases stays the same

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