Exponential Growth and Decay
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Exponential Growth?
Back
Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. For example, if a population grows by 10% each year, it will grow faster each subsequent year.
Tags
CCSS.HSF-LE.A.1A
2.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
Exponential Decay occurs when a quantity decreases by a consistent percentage over time. For example, if a substance loses 20% of its mass each year, it will decrease rapidly in the initial years.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you convert a percentage to a decimal?
Back
To convert a percentage to a decimal, divide the percentage by 100. For example, 11.2% becomes 0.112.
4.
FLASHCARD QUESTION
Front
What is the formula for Exponential Growth?
Back
The formula for Exponential Growth is y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate (as a decimal), and 't' is time.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the formula for Exponential Decay?
Back
The formula for Exponential Decay is y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate (as a decimal), and 't' is time.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function represents the growth or decay factor. For example, in f(x) = a(b)^x, 'b' indicates how much the quantity increases (if b > 1) or decreases (if 0 < b < 1).
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
If a population of bacteria doubles every 3 hours, what type of growth is this?
Back
This is an example of Exponential Growth, as the population increases rapidly over time.
Tags
CCSS.HSF-LE.A.1A
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