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 exponential growth & decay
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Exponential Growth & Decay
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These problems explore equations of the form y = abx. A working knowledge of exponential equations is helpful.
- Related Resources
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Interactive resources from our Math Tools project:
Algebra: Exponential Functions
The closest match in our Ask Dr. Math archives:
High School: Exponents
NCTM Standards:
Algebra Standard for Grades 9-12
Access to these problems requires a Membership.
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Ancestors
- Steve Risberg
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Algebra, difficulty level 2. Find how many ancestors Gene had from various generations going back
in time.
... more>>
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The Bouncing Ball
- Steve Risberg
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Algebra, difficulty level 1. A ball is dropped from 27 feet and bounces back to 2/3 of the height
from which it fell. Find and use a formula to calculate the height of
the nth bounce.
... more>>
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Cheap Sunglasses
- Steve Risberg
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Algebra, difficulty level 2. Help Gilbert figure out if his idea for making cheap sunglasses with
filter film will work.
... more>>
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Copying Conundrum
- Annie Fetter
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Algebra, difficulty level 1. Using a copy machine, copy an 8 x 10 inch picture at 80%. Then copy the copy at 80%, and repeat this until you have 5 copies of the original. What's the largest dimension now? What's a formula you could use?
... more>>
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The Joke
- Steve Risberg
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Algebra, difficulty level 1. A joke circulates the Internet via email, with each recipient
forwarding it on to 8 friends. Find a formula to represent the number
of emails sent out at any stage of the forwarding, and use your
formula to answer some questions.
... more>>
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Paper and the Moon
- Ethel Breuche
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Algebra, difficulty level 4. Students need to express their answers in scientific notation and know how to work in the metric system as well as do conversions to answer this paper-tearing problem.
... more>>
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Sierpinski Stages
- Steve Risberg
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Algebra, difficulty level 2. Find and use patterns to determine the total perimeter of an interesting shape.
... more>>
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That's Interesting!
- Steve Risberg
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Algebra, difficulty level 3. Two men follow different strategies for saving money. Who winds up
with more?
... more>>
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