What is exponential growth?
Exponential Growth & Decay

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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Exponential growth occurs when the increase of a quantity is proportional to its current value, leading to growth at an increasing rate over time.
2.
FLASHCARD QUESTION
Front
What is exponential decay?
Back
Exponential decay describes a decrease in quantity where the rate of decrease is proportional to the current amount, resulting in a rapid decline that slows over time.
3.
FLASHCARD QUESTION
Front
What does the variable 'a' represent in the function f(x) = a(b)^x?
Back
The variable 'a' represents the initial amount or starting value in the exponential function.
4.
FLASHCARD QUESTION
Front
What does the variable 'b' represent in the function f(x) = a(b)^x?
Back
The variable 'b' is the base of the exponential function, representing the growth (b > 1) or decay (0 < b < 1) factor.
5.
FLASHCARD QUESTION
Front
How do you identify exponential growth from a function?
Back
Exponential growth can be identified if the base 'b' in the function f(x) = a(b)^x is greater than 1.
6.
FLASHCARD QUESTION
Front
How do you identify exponential decay from a function?
Back
Exponential decay can be identified if the base 'b' in the function f(x) = a(b)^x is between 0 and 1.
7.
FLASHCARD QUESTION
Front
What is the common ratio in the function f(x) = 300(1.16)^x?
Back
The common ratio is 1.16, indicating a 16% increase for each unit increase in x.
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