Math Forum - Problems Library - Algebra, Exponential Growth & Decay

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Exponential Growth & Decay
These problems explore equations of the form y = abx. A working knowledge of exponential equations is helpful.

Related Resources
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.

Ancestors - Steve Risberg
Algebra, difficulty level 2. Find how many ancestors Gene had from various generations going back in time. ... more>>

The Bouncing Ball - Steve Risberg
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>>

Cheap Sunglasses - Steve Risberg
Algebra, difficulty level 2. Help Gilbert figure out if his idea for making cheap sunglasses with filter film will work. ... more>>

Copying Conundrum - Annie Fetter
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>>

The Joke - Steve Risberg
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>>

Paper and the Moon - Ethel Breuche
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>>

Sierpinski Stages - Steve Risberg
Algebra, difficulty level 2. Find and use patterns to determine the total perimeter of an interesting shape. ... more>>

That's Interesting! - Steve Risberg
Algebra, difficulty level 3. Two men follow different strategies for saving money. Who winds up with more? ... more>>

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