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Math 115 Recitation 8

Math 115 Recitation 8 - 3 The population of the world was...

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PRECALCULUS – Recitation 8 EXPONENTIAL GROWTH (OR DECAY) FORMULA: Where is the “population” at time t is the initial “population” k is the growth (or decay) rate t is the time Examples: 1. The fox population in a certain region has a relative growth rate of 80% per year. It is estimated that the population in 2005 was 18,000. a. Find a function that models the population t years after 2005. b. Use the function from part (a) to estimate the fox population in 2013. 2. A bacteria culture starts with 8,600 bacteria. After 1 hour, it has 10,000. Find a. A function that models the number of bacteria after t hours b. The number of bacteria after 2 hours c. How long it takes for it to double.
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Unformatted text preview: 3. The population of the world was 5.7 billion in 1995 and the relative growth rate was 2% per year. Assuming this growth rate remains constant, find a. How long it will take for the population to double b. When the population will reach 7 billion 4. The half-life of radium 226 is 1600 years. a. Find the relative rate of decay. b. How long will it take for a mass of radium 226 to reach 20% of its original mass? TERMINAL POINTS, REFERENCE NUMBERS, and TRIG FUNCTIONS Examples: 1. Find the reference number and terminal point determined by the following values of t a. b. c. 2. Find the values of , , , 3. If the terminal point of t is , find...
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