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Ohio Algebra 1 Test Study Flashcards

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Questions and Answers

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?

Base greater than 1

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?

<p>Base between 0 and 1</p> Signup and view all the answers

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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Prepare for the Ohio Algebra 1 Test with these flashcards covering key concepts such as exponential growth and decay. Each card provides a definition and formula to help solidify your understanding. Perfect for quick reviews and study sessions.