Intro Question: black stones.
How do you solve this problem? Let's look at what some others have to say: http://hplengr.engr.wisc.edu/Math_Schoenfeld.pdf
Quick review of exponential equations:
f(x)=ab^x
f(x)=a(1+- r)^x
Let's talk money in the bank.
$1 at 100% interest
multiple interest compounding
f(x)=P(1+r/n)^(nt)
every minute every second
f(x)=Pe^rt
Towns grow like this. All populations grow like this. What can we do with that information?
town of Bennington.
in 2010, Bennington had a population of 15,764. It has had a historical growth rate of 2.4%
in 2010, manchester had a population of 4,379. It has had a historical growth rate of 3.6%
radioactive plutonium!
Q(t) = 16(.5)^(t/24,100)
what would a function like this look like? what do each of the numbers represent for us?
car prices tend to depreciate exponentially. I bought a car for $9,000 as it was 4 years old. 6 years later, I sold it for $2,200. How much was the car worth (roughly) when it was bought? When will it be worth $1000?
some dice problems
what are the odds of rolling a 1 in 6 rolls?
boxcars in 36 rolls?