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Exponential Decay Quiz For larger numbers, do NOT include commas Read and answer each question carefully When will they have half or lessof the 250,000 listeners? How many listeners will theradio station have in 5 years? A local radio station has 250,000 listeners.Because of bad programming choices, the station is losing 3.5% of their viewers each year. (round to the nearest integer) (round to the nearest integer) Answer: Answer: years You ordered your favorite iced coffee from your favorite coffee cafe. The iced coffee contains165 mg of caffeine. Each hour, the caffeine in your system reduces by 14%. If you drank the coffee at noon, how much caffeine will still be in your system by 11pm? After 4 hours, how much caffeine will still be in your system? (round to the nearest integer) (round to the nearest integer) Answer: Answer: mg mg (round to nearest dollar) Do NOT include commas in the answer How many years before your car will be worth half of what you paid for it? You have decided to purchase a beautiful, new Porsche 911 Carrera. The purchase price is$107,000. Unfortunately, the car will depreciate5.8% each year.What will be the value of your Porsche after 1 year? (round to the nearest integer) Answer: $ Answer: years .00 (round to the nearest whole number) Answer: Do NOT include commas in your answers How many ants do you expect to see in 30 days? While roaming in your backyard, you discover anant colony. You estimate that there are 130,000ants. You use an insecticide to try and eliminatethe ants. After the 1st day, you notice there areapproximately 30% fewer ants. If the ant population continues to decrease at that percent, how many ants will you expect to see aftera week? Answer: ants ants You purchased a cell phone in the year 2015. Let 'x' represent the number of years since 2015 Let 'y' represent the value of the phone The value of the phone for each year isgiven in the table to the right. What exponential equation will modelthe depreciation of the cell phone? At what percentage is the phone depreciating? round to whole number y = ( 0. ) round to tenth x 2015 x=0 2016 2017 2018 x=1 Year x=2 x=3 Value $450 $750 $162 $270 % |