Exponential Growth or Decay?

Flashcard
•
Mathematics
•
9th - 10th Grade
•
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 consistent percentage over a period of time, leading to rapid increases as time goes on.
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 rapid decreases as time goes on.
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
If a house is worth $200,000 and appreciates at 3% per year, what is its value after 1 year?
Back
Value after 1 year = 200,000 * (1 + 0.03) = $206,000.
6.
FLASHCARD QUESTION
Front
If a car is worth $25,000 and depreciates at 20% per year, what is its value after 1 year?
Back
Value after 1 year = 25,000 * (1 - 0.20) = $20,000.
7.
FLASHCARD QUESTION
Front
What does a positive growth rate indicate?
Back
A positive growth rate indicates that the quantity is increasing over time.
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