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Math II

Math II. UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2 Today’s Question: How do you solve exponential equations and inequalities in real world applications? Standard: MM2A2e. Exponential Models. y = balance P = initial t = time in years

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Math II

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  1. Math II UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2 Today’s Question: How do you solve exponential equations and inequalities in real world applications? Standard: MM2A2e

  2. Exponential Models y = balance P = initial t = time in years r = % of increase 1+r = growth factor y = balance P = initial t = time in years r = % of decrease 1- r = decay factor

  3. In 1990, the cost of tuition at a state university was $4300. During the next 8 years, the tuition rose 4% each year. • Write a model the gives the tuition y (in dollars) t years after 1990 • What is the growth factor? • How much would it cost to attend college in 2000? In 2007? • How long it will take for tuition to reach $6000?

  4. My 2001 Honda Accord depreciates at a rate of 11% per year. I bought the car for $25000. • Write a model the gives the value of the car y (in dollars) t years after 2002 • What is the decay factor? • How much is my car worth now? In 2010? • How long will it take for my car to be worth half?

  5. Homework Practice Problems

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