2. Exponential Growth/Decay Word Problems (a) In 1995, there were 285 cell phone subscribers in the...

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2. Exponential Growth/Decay Word Problems (a) In 1995, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 235 % by the year 2016. How many cell phone subscribers were in Centerville in 2010? (b) Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with a bacteria culture containing 1430 bacteria which can double every hour, how many bacteria will we have by the end of one day? (c) During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths? (d) An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by about 29%. How much ibuprofen is left after 6 hours? (e) You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 2. Exponential Growth/Decay Word Problems (a) In 1995, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 235 % by the year 2016. How many cell phone subscribers were in Centerville in 2010? (b) Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with a bacteria culture containing 1430 bacteria which can double every hour, how many bacteria will we have by the end of one day? (c) During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths? (d) An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by about 29%. How much ibuprofen is left after 6 hours? (e) You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?

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