Growth And Decay Appreciation & depreciation

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Growth And Decay Appreciation & depreciation 8 Growth And Decay Appreciation & depreciation

What you Should Learn I can interpret coefficients and exponents in the context of the problem. I can model and solve growth (appreciation) and decay (depreciation) problems.

Exponential Growth Like a bank account or credit card balance, other things can grow, decay, appreciate or depreciate exponentially. Populations (bacteria) Value of Car Value of Real Estate

Growth and Decay formula A = P(1 + r)t A = Final Amount P = Principal (initial amount) r = growth/decay rate (as a decimal) If decaying/depreciating, be sure to make r a negative decimal t = # of years/hours/minutes/etc.

Example 1 Suppose that a small country has a population of 10 million people and an annual growth rate of 4.5% Write an equation to model the population. How many people will there be in 25 years?

Example 2 A Honda Accord cost $18,500 new in 2000. Suppose the car depreciated 8% per year. Write an exponential equation to model its value? How much will the car be worth in five years?

Example 3 A Honda Accord cost $18,500 new in 2000. In 5 years it is worth $12,193. Find the rate at which the car is depreciating each year. Write an exponential equation to model its value? How much will the car be worth in 10 years?