Exponential Growth and Decay
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Exponential Growth?
Back
Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. For example, if a population doubles every year, it is experiencing exponential growth.
2.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time. For example, if a radioactive substance loses half of its mass every year, it is experiencing exponential decay.
3.
FLASHCARD QUESTION
Front
What is the general formula for exponential growth?
Back
The general formula for exponential growth is y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time.
4.
FLASHCARD QUESTION
Front
What is the general formula for exponential decay?
Back
The general formula for exponential decay is y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is the time.
5.
FLASHCARD QUESTION
Front
In the equation y = 5000(1 - 0.30)^x, what does 5000 represent?
Back
In this equation, 5000 represents the initial quantity of bacteria.
6.
FLASHCARD QUESTION
Front
In the equation y = 5000(1 - 0.30)^x, what does 0.30 represent?
Back
In this equation, 0.30 represents the decay rate of the bacteria, indicating a 30% decrease each year.
7.
FLASHCARD QUESTION
Front
What does the variable 'x' represent in exponential functions?
Back
In exponential functions, 'x' typically represents time, measured in years or other time units.
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