Exponential Decay Worksheet
A Grade 12 Math worksheet focusing on exponential decay functions, their graphs, and real-world applications.
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Exponential Decay Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Define exponential decay and provide the general form of an exponential decay function.
2. Which of the following functions represents exponential decay?
$$y = 3(1.05)^x$$
$$y = 0.5(2)^x$$
$$y = 10(0.8)^x$$
$$y = x^2 + 5$$
3. In the exponential decay function $$A(t) = P(1-r)^t$$, P represents the , r represents the , and (1-r) is the .
4. Sketch the graph of the function $$y = 4(0.5)^x$$. Identify the y-intercept and the asymptote.
5. The value of a car depreciating by 15% each year can be modeled by an exponential decay function.
True
False
6. A certain radioactive substance has a half-life of 8 days. If you start with a 100-gram sample, how much of the substance will remain after 24 days? Show your calculations.