
Exponential Decay
Flashcard
•
Mathematics
•
KG - University
•
Practice Problem
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is Exponential Decay?
Back
Exponential Decay is a process where a quantity decreases at a rate proportional to its current value, often represented by the equation f(x) = 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 does the equation f(x) = 2,000(0.97)^x represent?
Back
This equation represents the value of an aquarium that depreciates by 3% per month, starting at $2,000.
Tags
CCSS.HSF.LE.B.5
3.
FLASHCARD QUESTION
Front
How do you calculate the value of an item after depreciation?
Back
To calculate the value after depreciation, use the formula: Value = Initial Value * (1 - Decay Rate)^Time.
4.
FLASHCARD QUESTION
Front
What is the decay rate in the equation y = 5000(0.7)^x?
Back
The decay rate is 30%, meaning the quantity decreases by 30% each year.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the value of a car worth $28,000 after 5 years with a 15% annual depreciation?
Back
The value of the car after 5 years is $12,424.
6.
FLASHCARD QUESTION
Front
What does the equation y = a(1 + r)^x represent?
Back
This equation represents Exponential Growth, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is time.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
If a sailboat costs $5,950 and depreciates by 11% per year, what will it be worth after 6 years?
Back
The sailboat will be worth $2,957.04 after 6 years.
Tags
CCSS.HSF.BF.A.2
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