I would love to show some effort here, but I honestly have no idea were to start, any help would be greatly appreciated.
Initially there are two snow goons. We need to estimate the amount of time it takes each snow goon to make 100 new snow goons. Let t = the number of days since the first two snow goons were made. Let N(t) = the number of snow goons on day t.
Estimate: On day t = 3 we estimate that there will be 100 snows goons.
1. On day t = 0 there are N = ____ snow goons. This is the initial amount.
The blank is 2 I'm assuming.
2. Find a function of the form N(t) = (C)e^kt that gives N(t), the number of snow goons that exist t days after the first two are built.
Wouldn't the number of snow goons just double everytime? I think the wording is throwing me off or I am over thinking this. Thanks.
Hmmm, that's weird because I gave you all the information I'm given.
There is a part before that question that asks me to make an estimate of how many snow goons there would be after t amount of days, but I don't see how an estimate would help here.
edit the equation ...need to estimate the amount of time it takes each snow goon to make 100 new snow goons.
Estimate: On day t = 3 we estimate that there will be 100 snows goons.
solve an estimate for k, then use the result to estimate t in the first equation.
Ok I did what you said and got 202 = (2)e^1.3(3.55). Not sure if that is right, but even if it is I need the function to give me N(t) right?
So would the answer be N(t) = (2)e^(1.3)t?