Exponential Growth and Decay Problems
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
Tags
CCSS.HSF-LE.A.1A
2.
FLASHCARD QUESTION
Front
Define half-life in the context of exponential decay.
Back
Half-life is the time required for a quantity to reduce to half its initial value. It is commonly used in radioactive decay and pharmacokinetics.
3.
FLASHCARD QUESTION
Front
What is the initial value in the function f(t) = 200(0.9)^t?
Back
The initial value is 200.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
Write the exponential growth equation for an initial amount of 100 with a growth rate of 20% per year.
Back
Tags
CCSS.HSF-LE.A.1A
5.
FLASHCARD QUESTION
Front
How do you determine the remaining amount after a certain time using the half-life concept?
Back
6.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent in growth and decay?
Back
In growth, the base is greater than 1, indicating an increase. In decay, the base is between 0 and 1, indicating a decrease.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
If a population of bacteria doubles every 3 hours, what is the growth factor?
Back
The growth factor is 2, as the population doubles.
Tags
CCSS.HSF-LE.A.1A
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