Exponential Growth and Decay
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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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 fixed percentage over a period of time, leading to rapid increases as the base amount grows.
2.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
Exponential Decay occurs when a quantity decreases by a fixed percentage over a period of time, leading to rapid decreases as the base amount shrinks.
3.
FLASHCARD QUESTION
Front
What is the formula for Exponential Growth?
Back
The formula is A = P(1 + r)^t, where A is the amount after time t, P 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 A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the decay rate, and t is time.
5.
FLASHCARD QUESTION
Front
How do you calculate the future value of an investment with compound interest?
Back
Use the formula A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
6.
FLASHCARD QUESTION
Front
What is the decay factor in exponential decay?
Back
The decay factor is (1 - r), where r is the decay rate expressed as a decimal.
7.
FLASHCARD QUESTION
Front
If a population of bacteria doubles every hour, what type of growth is this?
Back
This is an example of Exponential Growth.
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