What is an exponential decay function?
IM Algebra 2 - Unit 4 Mid Review

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Mathematics
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10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An exponential decay function describes a process where a quantity decreases at a rate proportional to its current value. It can be expressed in the form: m(h) = m_0 * e^(-kt), where m_0 is the initial amount, k is the decay constant, and t is time.
2.
FLASHCARD QUESTION
Front
How do you write an exponential decay equation from a given initial amount and decay factor?
Back
To write an exponential decay equation, use the formula: m(t) = m_0 * (decay factor)^t, where m_0 is the initial amount and t is time.
3.
FLASHCARD QUESTION
Front
What is the decay factor if a substance decreases to 78% of its original amount every 2 hours?
Back
The decay factor is 0.78, meaning the amount remaining after each 2-hour interval is 78% of the previous amount.
4.
FLASHCARD QUESTION
Front
How do you determine the population change factor for a bacteria population that triples every hour?
Back
To find the population change factor for a half-hour, use the formula: change factor = (tripling factor)^(1/2) = 3^(1/2).
5.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is f(t) = f_0 * e^(kt), where f_0 is the initial quantity, k is the growth rate, and t is time.
6.
FLASHCARD QUESTION
Front
How do you find the equation of an exponential function from a graph?
Back
To find the equation, identify the y-intercept and the growth/decay rate from the graph. Use the form y = a * b^x, where a is the y-intercept and b is the growth/decay factor.
7.
FLASHCARD QUESTION
Front
What does it mean for a population to triple every hour?
Back
It means that the population increases by a factor of 3 for every hour that passes.
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