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For larger numbers, include commas where appropriate Exponential Decay Quiz Read and answer each question carefully When will the viewership be half or lessof the current 50,000 viewers? How many viewers will the television station have in 5 years? A local television station has 50,000 viewers. Because of bad programming choices, the station is losing 2.5% 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 contains180 mg of caffeine. Each hour, the caffeine in your system reduces by 11%. If you drank the coffee at noon, how much caffeine will still be in your system by 10pm? After 4 hours, how much caffeine will still be in your system? (round to the nearest tenth) (round to the nearest integer) Answer: Answer: mg mg How many years before your car will be worth less than half of what you paid for it? You have decided to purchase a beautiful, new Tesla Roadster. The purchase price is$106,000. Unfortunately, the car will depreciate9% each year.What will be the value of your Tesla after 1 year? (round to nearest dollar) (round to the nearest integer) Answer: $ Answer: .00 years 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 500,000ants. You use an insecticide to try and eliminatethe ants. After the 1st day, you notice there areapproximately 25% fewer ants. If the ant population continues to decrease at that percent, how many ants will you expect to see aftera week? (round to the nearest whole number) Answer: Answer: ants ants (round all answers to the nearest integer) The Atlantic Puffin is an endangered bird that livesin the northern Atlantic area, from Maine to Russia.There are approximately 2,000 puffins in Maine. If the puffin population continues to decrease by 14% each year, how many years before there will be less than 600 puffins? In 20 years, what will be the expected puffin population? Answer: Answer: Puffins years How much of the carcus is remaining after 30 days? There was a 12 pound skunk hit by a car and it is of 0.35% each hour. How much of the skunk will be remaining in 1 week? (Of course, as long as no other scavengers are eating it!) Answer: Answer: Round to the nearest whole pound for answers pound(s) pound(s) Let 'x' represent the number of years since 2000 Let 'y' represent the value of the car The value of the car for each year is given in the table to the right. What exponential equation will model the depreciation of the car? You purchased a car in the year 2000. At what percentage is the car depreciating? round to whole number y = ( ) round to hundreth x 2003 2006 2010 2015 Year $15,353 $9,429 $4,922 $2,184 Value % |