What is exponential growth?
Exponential Growth and Decay

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•
Mathematics
•
9th - 12th 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. It can be modeled by the equation 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 is the decrease of a quantity at a rate proportional to its current value, resulting in a rapid decline. It can be modeled by the equation y = a(1 - r)^x, where a is the initial amount, r is the decay rate, and x is time.
3.
FLASHCARD QUESTION
Front
What does the variable 'y' represent in the equation y = 13000(0.88)^x?
Back
In this equation, 'y' represents the car's value in dollars after 'x' years.
4.
FLASHCARD QUESTION
Front
What does the variable 'x' represent in the equation y = 46000(1.05)^x?
Back
In this equation, 'x' represents the time in years.
5.
FLASHCARD QUESTION
Front
How do you calculate the value of an asset after a certain number of years with depreciation?
Back
Use the formula y = a(1 - r)^x, where 'a' is the initial value, 'r' is the rate of depreciation, and 'x' is the number of years.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating exponential growth?
Back
The formula for exponential growth is y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time period.
7.
FLASHCARD QUESTION
Front
What is the initial value in the equation y = 1450(0.82)^x?
Back
The initial value in this equation is 1450.
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