im desperate plz help
with?
this is my data Iris has been studying an invasive population of snails. This particular snail has no local predators, so the population grows wildly. She has observed that the population follows an exponential rate of growth for fifteen years. 1. Create your own exponential function, f(x), which models the snail population. 2. f(x) = P(1 + r)x. rate =50% 3. You will need to identify the principal population of the snails. 100 4. and the rate of growth each year. 50% =50 5. P represents the initial population. 100 R represents the rate of growth. 50% X represents the number of years. 15 6. F(x)=100(1+.50)x 2. A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then, explain to Iris how the key features of this local snail population compares to the key features of the invasive population. G(x) = 200(1.03)2x G(x) = 200(1.032)x G(x) = 200(1.0609)x The local snail population is larger than the invasive snail population and it has a higher growth rate.
Hmm..
this is the question 3. Iris wants to graph the invasive snail population to show the city council. Justify what the appropriate domain and range would be for the function f(x), what the y-intercept would be, and if the function is increasing or decreasing.
I did this with frogs, I think I can help
that would be great
Well, idk this is slightly different. I would help but I have to go, sorry
@iGreen @TheEdwardsFamily @tkhunny
thank you anyway
@jessmitz
that is a LOT to ask in one question, that is a lot of work to do
the struggle is real....
i just dont know how to get the domain and all of that stuff
@brittanydosey
Here is some ideas to think about for this problem. First consider that the formula f(x) = P (1 + r) ^x. is the formula used for compound interest. in a bank if you invest $1 and the APR (annual percent rate) is 5% will you will end up with $1,05 at the end of the year ? ... YES, NO, MAYBE ??? The first consideration in this case is that you have to get at least your dollar back ... That is where the "1 +" comes in to play... now for you extra money (the interest) that is the "r" In my stort it would be 5% (.05)... so if you keep th emoney in there for one yeat you get 1(1+.05)^1 or 1.05 ... now the compounding ... if you keep it there for a second yeat then the total is 1(1.05)(1.05) OR .... 1(1.05)^2 Now if the compounding is more than once a year (lets say quarterly) then the compounding periods has to be multiplied by 4 and the rate has to be divided by 4 1(1 + .05/4)^ 2*4 for two years... the number of compoundings can be any number... Now ther is a SPECIAL situation where there is a infinite compoundings per year (and NO you do not end up with an infinite amount of money) when done the equation produces a special number "e" (2.71...) this is called continuoue compounding... this actually will model things like radioactive decay f(x)= P e^r bottom line here is if the snals reproduce continuously you would use the "e" formula... f(x) = P (1 + r) ^x. where r is the percent increase in population each cycle and x is the time interval of each cycle
https://answers.yahoo.com/question/index?qid=20130930122140AAWQsFn this may help alittle
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