Exponential Growth and Decay

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+2
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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, resulting in a rapid increase in value.
Tags
CCSS.HSF-LE.A.1A
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 a rapid decrease in value.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form is f(x) = a(b)^x, where 'a' is the initial amount, 'b' is the growth (b > 1) or decay factor (0 < b < 1), and 'x' is the time.
Tags
CCSS.HSF.LE.A.2
4.
FLASHCARD QUESTION
Front
What does the term 'initial amount' refer to in an exponential function?
Back
The initial amount is the value of the function when x = 0, represented by 'a' in the function f(x) = a(b)^x.
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
How do you determine the growth factor from an exponential function?
Back
The growth factor is the base 'b' in the function f(x) = a(b)^x, where b > 1 indicates growth.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
How do you determine the decay factor from an exponential function?
Back
The decay factor is the base 'b' in the function f(x) = a(b)^x, where 0 < b < 1 indicates decay.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
What is the formula to calculate the decay factor from a percentage rate?
Back
The decay factor can be calculated using the formula (1 - r), where r is the rate of decay expressed as a decimal.
Tags
CCSS.HSF-IF.C.8B
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