Lucy spent $165 in December using a new credit card. In January, she began paying between $15 and $25 each month towards her account balance. The equation f(x) = 165(0.8)x describes the curve of best fit for Lucy's account balance f(x). Let x represent the number of months since December. MonthAccount Balance December$165.00 January$132.00 February$105.60 March$84.48 Using the equation for the curve of best fit, what will Lucy's account balance be in June? Round to the nearest cent. A. $28.25 B. $53.95 C. $43.25 D. $33.25

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

i think the answer is .36

step-by-step explanation:

what i did was only 2.88 divided by 8

this doesn't make sense lol