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3 cards from this section. Quick, good the night before a test.
If a car is worth $18,000 and depreciates at a rate of 10% per year, how much will it be worth after 1 year?
Use the formula y = a(1 - r)^t with t = 1.
A plant decays at a rate of 5% every year. If it starts at a height of 2 meters, what will its height be after 2 years?
Apply the decay formula with a = 2, r = 0.05, and t = 2.
Which of the following is true about exponential decay?
Recall that decay indicates a reduction in the variable.
True or False: The value of an exponentially decaying quantity can reach zero.
Think about how a limit behaves in an exponential function.
A population of a certain species declines by 25% every year. If there were 800 of these animals at the start, what will be the population after 4 years?
Remember to apply the formula carefully and round to the nearest whole number.
A radioactive sample has a half-life of 10 years. If you start with 100 grams of material, how much will be left after 30 years?
Calculate how many half-lifes fit into the 30 years and apply the reduction accordingly.
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