What is exponential growth?
Exponential Growth

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Exponential growth is a process where the quantity increases by a consistent percentage over a specific period of time, leading to rapid growth as time progresses.
2.
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 the time period.
3.
FLASHCARD QUESTION
Front
If a population of 4,000 mosquitoes grows at a rate of 25% per month, how do you calculate the population after 4 months?
Back
Use the formula: y = 4000(1 + 0.25)^4. Calculate to find y.
4.
FLASHCARD QUESTION
Front
What does the initial value represent in an exponential function?
Back
The initial value represents the starting amount before any growth occurs.
5.
FLASHCARD QUESTION
Front
How do you convert a percentage growth rate to a decimal for calculations?
Back
To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 0.25.
6.
FLASHCARD QUESTION
Front
What is the significance of the exponent in an exponential function?
Back
The exponent indicates the number of time periods the growth occurs, affecting the final amount significantly.
7.
FLASHCARD QUESTION
Front
How do you write an exponential growth function for a value increasing by 9% each year starting at $1400?
Back
The function is y = 1400(1.09)^x.
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