What is exponential growth?
Exponential Growth & Decay

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Exponential growth occurs when the increase of a quantity is proportional to its current value, leading to growth at an increasing rate over time.
2.
FLASHCARD QUESTION
Front
What is exponential decay?
Back
Exponential decay is the decrease of a quantity at a rate proportional to its current value, resulting in a rapid decline that slows over time.
3.
FLASHCARD QUESTION
Front
What is the 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.
4.
FLASHCARD QUESTION
Front
What is the 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.
5.
FLASHCARD QUESTION
Front
What does the term 'initial amount' refer to in exponential functions?
Back
The initial amount is the starting value of the quantity before any growth or decay occurs.
6.
FLASHCARD QUESTION
Front
How do you calculate the growth factor in exponential growth?
Back
The growth factor is calculated as 1 + r, where r is the growth rate expressed as a decimal.
7.
FLASHCARD QUESTION
Front
How do you calculate the decay factor in exponential decay?
Back
The decay factor is calculated as 1 - r, where r is the decay rate expressed as a decimal.
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