Exponential growth vs decay

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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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, leading to rapid increases as time progresses.
Tags
CCSS.HSF-LE.A.1A
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 rapid decreases as time progresses.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What is the general formula for exponential growth?
Back
The formula is: y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What is the general formula for exponential decay?
Back
The formula is: y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
How can you identify exponential growth on a graph?
Back
Exponential growth graphs rise steeply and curve upwards, indicating rapid increases.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How can you identify exponential decay on a graph?
Back
Exponential decay graphs fall steeply and curve downwards, indicating rapid decreases.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the difference between linear and exponential functions?
Back
Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.
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