HW - 6.5 Exponential Growth & Decay Word Problems

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Mathematics
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9th - 12th Grade
•
Hard
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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 quantity 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 a rapid decrease as the quantity 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 value of an investment after a certain number of years with exponential decay?
Back
Use the formula A = P(1 - r)^t, substituting P for the initial investment, r for the decay rate, and t for the number of years.
6.
FLASHCARD QUESTION
Front
How do you calculate the future population with exponential growth?
Back
Use the formula A = P(1 + r)^t, where P is the current population, r is the growth rate, and t is the number of years.
7.
FLASHCARD QUESTION
Front
If an investment of $8200 loses value at a rate of 2% per year, what is its value after 9 years?
Back
The value after 9 years is approximately $6836.73.
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