What is Exponential Growth?
Exponential Growth and Decay

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•
Mathematics
•
8th - 9th 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, resulting in a rapid increase. For example, if a population grows by 10% each year, it will grow faster each subsequent year.
2.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
Exponential Decay occurs when a quantity decreases by a consistent percentage over time. For example, if a substance loses 20% of its mass each year, it will decrease rapidly in the initial years.
3.
FLASHCARD QUESTION
Front
How do you convert a percentage to a decimal?
Back
To convert a percentage to a decimal, divide the percentage by 100. For example, 11.2% becomes 0.112.
4.
FLASHCARD QUESTION
Front
What is the formula for Exponential Growth?
Back
The formula for Exponential Growth is y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate (as a decimal), and 't' is time.
5.
FLASHCARD QUESTION
Front
What is the formula for Exponential Decay?
Back
The formula for Exponential Decay is y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate (as a decimal), and 't' is time.
6.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function represents the growth or decay factor. For example, in f(x) = a(b)^x, 'b' indicates how much the quantity increases (if b > 1) or decreases (if 0 < b < 1).
7.
FLASHCARD QUESTION
Front
If a population of bacteria doubles every 3 hours, what type of growth is this?
Back
This is an example of Exponential Growth, as the population increases rapidly over time.
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