
Exponential Growth and Decay Word Problems
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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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.
Tags
CCSS.HSF-LE.A.1A
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.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you calculate compound interest?
Back
Compound interest can be calculated using the formula A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.
4.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is N(t) = N0 * e^(rt), where N(t) is the amount at time t, N0 is the initial amount, r is the growth rate, and t is time.
Tags
CCSS.HSF-LE.A.1A
5.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is N(t) = N0 * e^(-rt), where N(t) is the amount at time t, N0 is the initial amount, r is the decay rate, and t is time.
Tags
CCSS.HSF-LE.A.1A
6.
FLASHCARD QUESTION
Front
If a population of 1000 increases by 10% each year, what will it be after 3 years?
Back
After 3 years, the population will be approximately 1331.
Tags
CCSS.HSF-LE.A.1C
7.
FLASHCARD QUESTION
Front
If a substance decays by 25% each year, what fraction remains after 2 years?
Back
After 2 years, 56.25% of the substance remains.
Tags
CCSS.HSF-LE.A.1C
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