Modeling Exponential Growth and Decay
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general formula for exponential decay?
Back
y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is time.
Tags
CCSS.HSF-IF.C.8B
2.
FLASHCARD QUESTION
Front
What is the general formula for exponential growth?
Back
y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you convert a percentage to a decimal?
Back
Divide the percentage by 100. For example, 11.2% becomes 0.112.
4.
FLASHCARD QUESTION
Front
If a quantity decreases by 30% each year, what is the decay factor?
Back
The decay factor is 0.70 (1 - 0.30).
Tags
CCSS.HSF-LE.A.1C
5.
FLASHCARD QUESTION
Front
What does it mean for a quantity to double?
Back
It means the quantity increases by 100% over a given time period.
Tags
CCSS.6.EE.B.7
6.
FLASHCARD QUESTION
Front
How do you calculate the value of an asset after depreciation?
Back
Use the formula: Value = Initial Value * (1 - r)^t, where 'r' is the depreciation rate and 't' is time.
7.
FLASHCARD QUESTION
Front
What is the value of a $35,000 printer after 8 years with a 5% annual depreciation?
Back
$23,219.72.
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