AQR Population Growth & Decay 1/14

Rowlett - population 2,500 Assume that Rowlett's population is increasing by 30% each year. Find a single number which you could multiply the current population in order to find out what next year's population would be. Then write an expression that can be used to find the population in future years "a _{n}".Multiplier: __________________ Expression for future years: a _{n} = x ^{n-1}Sachse - population 1,000 Assume that Sachse has a population growth of 70% each year. Find a single number which you could multiply the current population in order to find out what next year's population would be. Then write an expression that can be used to find the population in future years "a _{n}".Multiplier: __________________ Expression for future years: a _{n} = x ^{n-1}{HINT: Round to the 3 ^{rd}decimal place if you can.} Now fill out a chart for the population growth of Rowlett. {HINT: Round to the 3 ^{rd}decimal place if you can.} Now fill out a chart for the population growth of Sachse. Strontium-90 has a half-life of 25 years. How long would it take 40 mg of it to decay to: A) 20 mg B) 1.25 mg years years The half-life of palladiim-100 is 4 days. In 16 days an intial sample has been reduced to a mass of 0.75 g. Determine the starting mass. grams Write an explicit function rule for this situation: a _{n} = x ^{n-1}Include the 0 before decimals A cup of coffee contains approximately 96 mg of caffeine. When you drink the coffee, the caffeine is absorbed into the bloodstreeam and eventually metabolized by the body. Every 5 hours the amount of caffeine present in the body is reduced by one-half. How many hours does it take for the amount of caffeine to be reduced to 12 mg? hours |

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