What is exponential growth?
Exponential growth vs decay

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, leading to a rapid increase. Example: Population 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, leading to a rapid decrease. Example: Radioactive decay.
3.
FLASHCARD QUESTION
Front
How can you identify exponential growth on a graph?
Back
Exponential growth graphs rise steeply and curve upwards as they progress from left to right.
4.
FLASHCARD QUESTION
Front
How can you identify exponential decay on a graph?
Back
Exponential decay graphs fall steeply and curve downwards as they progress from left to right.
5.
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.
6.
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.
7.
FLASHCARD QUESTION
Front
What does the variable 'r' represent in exponential functions?
Back
In exponential functions, 'r' represents the rate of growth (for growth) or decay (for decay) expressed as a decimal.
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