Vocab
What is Linear Growth?
An increase of values that grows by the exact same constant amount.
What is the recursive relationship Formula?
A formula that relates the next value in a sequence of previous values.
Where does Saddle Up take place?
University of Wyoming/UW
20,250 elk
Evaluate log(300)
2.477121
Formulas that show the change in different topics (Money, populations, numbers)
What is the Explicit equation?
An equations that allows us to calculate Pn directly without Pn-1
What is the name of your Poke Pack Leader?
Shelby/Logan/any other name
Suppose a four year old boy is currently 39 inches tall, and you are told to expect him to grow 2.5 inches a year.
How tall would he be if he was 6 years old?
How tall would he be if he was 50 years old?
6 years old= 44 inches
50 years old= 154 inches
Evaluate log_{2}(16)
4
What is Exponential Growth?
When a quantity increases by an a constant percentage over a equal amount of time
What are the Properties of Logs equation?
log (A^r)
What is the name of the of building your in at this moment?
Refer to your PASS leader or Poke Pack Leader for conformation
Between 2007 and 2008, Olympia, WA grew almost 3% to a population of 245 thousand people. If this growth rate was to continue, what would the population of Olympia be in 2014?
293,000 people
On the island that can support a population of 1,000 lizards. There's currently a population of 600 lizards and they have a lot of offspring's but not many natural predators. So they have very high growth rate around 150%. Calculate the next couple of generations using the logistic growth model
Refer to PASS Leader for answer
What is a Growth Multiplier?
A number you multiply by a quantity to increase it by a certain percentage.
What is the Exponent Property equation?
r log(A)
When was the University of Wyoming founded?
1886/1887
A friend is using the equation Pn=4600(1.072)^n to predict the annual tuition at a local college. She says the formula is based on years after 2010. What does this equation tell us?
The tuition in 2010 was $4,600, and is expected to grow by 7.2% each year
A forest is currently home to a population of 200 rabbits the forest is estimated to be able to sustain a population of 2000 rabbits. Absent any restrictions, the rabbits would grow by 50% per year. Predict the future population using the logistic growth model
Refer to PASS Leader for answer
What are Logarithms?
The opposite or interval of an exponent
What is the name of the current president of the University of Wyoming?
Shane R. Reeves
In 1990, the residential energy use in the US was responsible for 962 million metric tons of carbon dioxide emissions. By the year 2000, that number had risen to 1182 million metric tons. If the emission grow exponentially and continue at the same rate, what will the emissions grow to by 2050?
P_{60}=(1+0.0208)^{60}962=3308.4 million metric tons of CO2 in 2050
Polluted water is passed through a series of filters. Each filter removes 90% of the remaining impurities from the water. If you have 10 million particles of pollutant per gallon originally, how many filters would the water need to be passed through to reduce the pollutant to 500 particles per gallon?
4.301 filters but you can't use 4.3 filters so we would say 5 filters