Choose an abstract situation such as credit cards/interest rates, population growth/decay, or other growth/decay models.

Be thorough and provide step by step by step details for all questions

1. Describe using multiple representations (graphs) how and where you see exponential growth in your chosen situation. What does the output of your situation represent?

2. Create an explicit exponential function that models your chosen situation.

3. Estimate the value of x within a maximum error of 0.5 when f(x)=1000. Describe clearly how you made your estimate considering multiple representations. In some situations the 1000 might not make complete sense. Provide a reasonable explanation to correct for this potential issue should it happen to you.

4. Set up an equation or an expression that would enable you to directly and precisely calculate the value of x when f(x)=1000.