Exponential Growth and Decay Applications
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is exponential growth?
Back
Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.
Tags
CCSS.HSF-LE.A.1A
2.
FLASHCARD QUESTION
Front
What is exponential decay?
Back
Exponential decay occurs when a quantity decreases at a rate proportional to its current value, resulting in a rapid decrease that slows over time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you calculate the future value of an investment with compound interest?
Back
Future Value = P(1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
4.
FLASHCARD QUESTION
Front
What is the formula for calculating depreciation?
Back
Depreciation can be calculated using the formula: Value = Initial Value * (1 - rate)^t, where rate is the depreciation rate and t is the time in years.
5.
FLASHCARD QUESTION
Front
What is the decay factor in exponential decay?
Back
The decay factor is calculated as (1 - rate). For example, if the rate is 8%, the decay factor is 0.92.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean for an investment to be compounded semiannually?
Back
Compounding semiannually means that interest is calculated and added to the principal twice a year.
7.
FLASHCARD QUESTION
Front
How do you determine if a model represents exponential growth or decay?
Back
If the base of the exponential function is greater than 1, it represents growth; if the base is between 0 and 1, it represents decay.
Tags
CCSS.HSF-IF.C.8B
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