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Questions and Answers
What is the formula for exponential growth?
What is the formula for exponential growth?
- y=a×b^x, c=0
- y=a×b^x+c, b>1 (correct)
- y=a×b^x+c, b<1
- y=a×b^x+c, b=0
What does the 'b' represent in the exponential growth formula?
What does the 'b' represent in the exponential growth formula?
Base greater than 1
What is the formula for exponential decay?
What is the formula for exponential decay?
- y=a×b^x, c=0
- y=a×b^x+c, 0<b<1 (correct)
- y=a×b^x+c, b>1
- y=a×b^x+c, b=0
What does the 'b' represent in the exponential decay formula?
What does the 'b' represent in the exponential decay formula?
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Study Notes
Exponential Growth
- Represents a mathematical model where a quantity increases rapidly over time.
- Defined by the equation (y = a \times b^x + c), where:
- (a) is the initial value.
- (b) is a base greater than 1, indicating growth.
- (x) is the exponent representing time or another variable.
- (c) is a constant added to the function.
Exponential Decay
- Models a scenario where a quantity decreases over time.
- Expressed by the equation (y = a \times b^x + c), where:
- (a) is the initial amount.
- (b) is a base between 0 and 1, signifying decay.
- (x) denotes the exponent, similar to growth.
- (c) represents a constant that can affect the outcome.
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