What is exponential growth?
Growth or Decay

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, represented by the function y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.
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, represented by the function y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.
3.
FLASHCARD QUESTION
Front
Identify the growth factor in the function y = 5(1.04)^x.
Back
The growth factor is 1.04.
4.
FLASHCARD QUESTION
Front
Identify the decay factor in the function A = 1200(0.85)^6.
Back
The decay factor is 0.85.
5.
FLASHCARD QUESTION
Front
What does a growth rate of 4% mean in an exponential growth model?
Back
It means that the quantity increases by 4% of its current value each time period.
6.
FLASHCARD QUESTION
Front
What does a decay rate of 15% mean in an exponential decay model?
Back
It means that the quantity decreases by 15% of its current value each time period.
7.
FLASHCARD QUESTION
Front
Is the function f(x) = 2(1/7)^x an example of growth or decay?
Back
It is an example of exponential decay.
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