exponential growth & decay 33 22 11 exponential growth exponential decay practice problems
TRANSCRIPT
Exponential Growth & Decay
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1Exponential Growth
Exponential Decay
Practice Problems
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Definitions
Exponential Growth As the value of x increases, y increases
Exponential Decay As the value of x increases, y decreases
xaby
,0a 1b
,0a 10 b
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Exponential Growth
xy ab
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Exponential Decay
1x
y ab
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Another Model for Exponential Growth & Decay
tratA )1()(
Time
Initial Amount
Final Amount
Rate of:Growth (r>0) Decay (r<0)
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Growth Example
You Invested $1000 in a savings account at the end of 6th grade. The account pays 5% annual interest. How much money will be in the account after 6 years?tratA )1()(
6)05.1(1000)6( A6)05.1(1000)6( A
)340095641.1(1000)6( A10.1340$)6( A
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Decay Example
A company purchased $10,000 in equipment that has a depreciation rate of 5.5%. What will be the depreciated value of the equipment after 10 years?tratA )1()(
10)055.1(000,10)10( A10)945(.000,10)10( A
)5679604376.0(000,10)10( A60.5679$)10( A