Exponent Guy. An antique coin appreciates in value the older it gets. The following data shows that the value of a certain coin for every year since it.

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Presentation transcript:

Exponent Guy

An antique coin appreciates in value the older it gets. The following data shows that the value of a certain coin for every year since it was purchased. x # of years since purchased y Value of coin in $ a) Using a graphing calculator with Diagnostics turned on, determine the function for this relationship. a initial value, when x = 0 b common ratio (app by 15%)

How long does it take for the coin to double in value?

Now if we take into consideration these two points (0, 3) and (5, 6) as two points on the curve and replace the doubling effect as 2 for the base, how else can we represent this scenario? 3 is the initial value when x = 0 2 is the base to show the price is doubling. 5 is the time it will take to double.

Try Page 136 # 30 x0246 y Determining a Function from a Table

More Examples: 1. An investment triples every six years. If you invest $2500, how much will it be worth after 25 years? After 25 years, the $2500 investment would be worth $243, A house appreciates by 10% every 4 years. How much would a $100,000 house be worth in 20 years? After 20 years, the house could sell for $161, 051.

Try Page 136 # 31, 32, 35, 39 & Page 150 # 16, 18, 19, 22, 24, 27

The More Practice, the Better! Page 150 # 16, 18, 19, 22, 24, 27 & Page 160 # 15, 18, 21, 24, 25