Sequences
Exponential Graphs
Exponential Equations
Growth/Decay Factors
Percent Rate
100
Given the sequence 1, 4, 9, 16..., the number 81 would be considered this term.
What is the 9th term?
100
This graph is a simple exponential function that can be described as a 'doubling relationship.'
What is a graph of y=2^x?
100
y=a(b)^x
What is the standard form equation for an exponential function?
100
This equation models a situation where we start with 2 and, as x increases, y triples.
y=2(3)^x
100
This growth factor would be included in a exponential function that described a 5% monthly increase.
What is a growth factor of 1.05?
200
These are the first 7 terms of the Fibonacci Sequence.
What is 1, 1, 2, 3, 5, 8, 13?
200
This graph is an exponential decay which crosses the points (0,1), (1,1/3) and (2,1/9).
What is y=(1/3)^x
200
These are the first four terms of the sequence modeled by the exponential equation y=4^x? (starting at n=0)
What is 1, 4, 16, 64?
200
This type of function has a factor between zero and one.
What is a decay function?
200
This is the percent rate for the equation y=45(.65)^x.
What is 35 percent decrease?
300
An example of a plant which displays the Golden Ratio (Fibonacci Sequence)?
What is a flower? A pineapple? An artichoke? A pinecone? etc.
300
The graph of this function can be plotted like this: http://imgur.com/pzFOORV
What is y=2(3)^x
300
This is a function to describe the following relationship: "I've got a lovely bunch of coconuts. I started with 3 but each time I shook the tree, more fell down. The first shake gave me 15, and the second 75, and after the third shake I had 375!"
What is y=3(5)^x?
300
This function describes the sequence (starting at n=0) 52, 26, 13, 13/2... whose common ratio is 1/2.
What is f(n)=52(1/2)^n?
300
This growth factor describes an annual decrease of 18%.
What is 0.82?
400
This is the common ratio of the sequence 27, 9, 3, 1, 1/3...?
What is 1/3?
400
The graph of this function looks like this: http://imgur.com/trikVTh
What is y=4(1/2)^x?
400
DAILY DOUBLE: This function models the following situation: "The population of a city of 50,000 on this date in 1995 increased by 8% each year after that. What is its population today?"
What is 271,827?
400
https://docs.google.com/document/d/1q03mYntcQuRE32mhg9rss0gYMYQFuPsBUPumAlVRylU/edit?usp=sharing
What is y=4(1.25)^x?
400
What is the percent decrease that the explicit function of this sequence (starting at n=0) describes? 1, 1/2, 1/4, 1/8, 1/16...
What is 50%?
500
This is the explicit function for this sequence (starting at n=1): 3, 5, 9, 17, 33...
What is f(n)=2(2)^n?
500
The graph of this function has a growth factor of 1.5 and looks like this: http://imgur.com/92HOg5r
What is -2(3/2)^x
500
During normal breathing, about 12% of the air in the lungs is replaced after one breath. After 24 breaths, this amount of original 500 mL of air is left in the lungs.
What is 23.26 mL?
500
https://docs.google.com/document/d/1kbHhwQjAGhsP6J6rhPhyKOcyLP7CZ_3Ix7QViV767nc/edit
What is y=75(.67)^x
500
The usable land-resource of the planet Earth is decreasing at 0.04% per year. If the Earth has 8.5 billion hectacres of useable, productive land today, this is how much will have been lost over the next 30 years.
What is over 100 million hectacres?
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