Answer: EXPONENTIAL GROWTH AND DECAY a = starting or initial value ADD = Growth y=a(1Ær)* amount r = percent of change SUBTRACT-Decay Basic Equation Statements: Determine growth decay, the percent of change, and initial value. EQUATION Initial Value Growth or Decay? Percent of Change 1) y = 7500(1 +.03) 2)y = (0.85) 3)y=900 (1.27) 4) y = 24000(1-.08) 5)y = 750(1.15) 6) y = 250,000(0.65) 7) y = 11,275(1.1) 8)y = 673 (2.2) Exponential Growth and Decay Word Problems: Evaluate all answers exactly and then round when necessary 9. The price of a car that was bought for $10,000 and has depreciated 10% yearly. Find the price of the car 8 years later, PRICE: The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the value of the card 25 years later. VALUE: !!. A town of 3200, grows at a rate of 25% every year. Find the size of the city in 10 years. Population: 12 Acity of 100,000 is having pollution problems and is decreasing in size 2% annually (every year). Find the population of this city in 100 years. Population: In 1982, the number of Starbucks was shops. It has exponentially grown by 21% yearly. Let the number of years since 1982. Find an equation for this growth and find the number of Starbucks predicted in 2015
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