Growth or Decay Warm Up

Flashcard
•
Mathematics
•
9th Grade
•
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. Example: A population that doubles every year.
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, leading to a rapid decrease. Example: A radioactive substance that halves every year.
3.
FLASHCARD QUESTION
Front
How can you identify Exponential Growth in a function?
Back
In a function of the form A = P(1 + r)^t, if r > 0, it represents Exponential Growth.
4.
FLASHCARD QUESTION
Front
How can you identify Exponential Decay in a function?
Back
In a function of the form A = P(1 - r)^t, if r > 0, it represents Exponential Decay.
5.
FLASHCARD QUESTION
Front
What does the base of an exponential function indicate?
Back
The base indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay function?
Back
The general form is A = P(1 - r)^t, where P is the initial amount, r is the decay rate, and t is time.
7.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form is A = P(1 + r)^t, where P is the initial amount, r is the growth rate, and t is time.
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