# Exponential Growth Decay

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```					  Exponential Growth & Decay
Exponential Growth     Exponential Decay

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Exponential Growth               Exponential Decay

y = C(1 + r)t                      y = C(1 - r)t

rate MUST be expressed as a decimal
Exponential Growth Problem
A rancher begins his herd of cattle with 15.
The herd grows by 30% each year.

Write a MODEL (the equation, uncompleted)
for the size of the herd during the first
several years.

y=
Now determine how many cattle
the rancher will have after 4 years.
Compound Interest
y = P (1 + r)t

You deposit \$500 into a savings account.
The interest rate pays 8% yearly. Find the
account balance after 6 years.
Newly hatched catfish weigh 0.06 grams. In
the first 6 weeks, the weight increases
10% per DAY. At the end of the six
weeks, what is the weight?
There is a population of 20 mice. The
population triples in a year. Find the
population after 5 years.
Exponential Decay Problem
You buy a used car for \$7,000. The car
depreciates at a rate of 6% per year. Find
the value of the car after the 5 years.
Factor vs. Rate
• Growth factor     • Decay factor

• Growth rate       • Decay rate
Assignment:

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 views: 35 posted: 7/20/2011 language: English pages: 10