Exponential Growth and Decay
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
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.
Tags
CCSS.HSF-IF.C.8B
2.
FLASHCARD QUESTION
Front
What is the formula for exponential decay?
Back
The formula for exponential decay is y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate (as a decimal), and 't' is the time period.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you convert a percentage growth rate to a decimal for calculations?
Back
To convert a percentage growth rate to a decimal, divide the percentage by 100. For example, 35% becomes 0.35.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a population to decrease by a certain percentage each year?
Back
It means that each year, the population is reduced by that percentage of its current size.
Tags
CCSS.HSF-LE.A.1C
5.
FLASHCARD QUESTION
Front
How do you calculate the value of an asset after depreciation?
Back
To calculate the value of an asset after depreciation, use the formula: Value = Initial Cost × (1 - Depreciation Rate)^t.
6.
FLASHCARD QUESTION
Front
What is the significance of the initial amount in exponential functions?
Back
The initial amount represents the starting value before any growth or decay occurs.
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
How can you determine the population after a certain number of years with a given growth rate?
Back
Use the exponential growth formula: y = a(1 + r)^t, substituting 'a' with the initial population, 'r' with the growth rate, and 't' with the number of years.
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