Exponential Growth and Decay
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth equation?
Back
A = a(1 + r)^t, where A is the amount after time t, a is the initial amount, r is the growth rate, and t is time.
2.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay equation?
Back
A = a(1 - r)^t, where A is the amount after time t, a is the initial amount, r is the decay rate, and t is time.
3.
FLASHCARD QUESTION
Front
How do you classify a model as exponential growth or decay?
Back
If the growth factor (1 + r) is greater than 1, it is growth; if (1 - r) is less than 1, it is decay.
4.
FLASHCARD QUESTION
Front
What is the growth factor if the growth rate is 80%?
Back
1.8, calculated as 1 + 0.80.
5.
FLASHCARD QUESTION
Front
If a population decreases by 6% per year, what is the decay factor?
Back
0.94, calculated as 1 - 0.06.
6.
FLASHCARD QUESTION
Front
How do you calculate the population after a certain number of years with exponential decay?
Back
Use the formula A = a(1 - r)^t, where A is the population after t years, a is the initial population, r is the decay rate, and t is time.
7.
FLASHCARD QUESTION
Front
What does the variable 'x' represent in the equation y = 300(0.6)^x for penicillin decay?
Back
The variable 'x' represents the number of days after the initial dose.
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