how do i start this practice problem? will give medals if you can explain! i attached the problem in a photo

Question

x3_drummerchick · Answer

attachment

x3_drummerchick · Answer

its a growth model, but i think im using the formula wrong

anonymous · Answer

$$Population=(initial amount)e ^{kt}$$
(2,225)
2 corresponds to years
Let t=years
225 correspond to population
Let population=225

x3_drummerchick · Answer

the pert formula, right?

anonymous · Answer

Solve for k .
The formula should be in terms of t.

anonymous · Answer

No.

x3_drummerchick · Answer

i think i have the 100 and 225 backwards

anonymous · Answer

Yes you did.
I said let 225=population
100 is initial amount.

If you think about it, it doesnt make sense.

x3_drummerchick · Answer

okay so the equation is $$225=100e ^{2k}$$

x3_drummerchick · Answer

pop = initial pop e ^rate * time?

phi · Answer

notice that you also know the point (0,100)
you start with
100 = A e^(k*0)
100= A e^0
100= A
that is how you know A is 100

anonymous · Answer

Yes, solve for k.

x3_drummerchick · Answer

ohh okay that  makes sense.