1.2.41
tavon has a gift card for $175 that loses $4 for each 30 day period it is not used. he has another gift card for $155 that loses $3.50 for each 30-day period it is not
used.
a. write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. what will the value of each card be when they have equal value?
can be used to find the number of 30-day periods until the values of the gift cards will be equal.
fy is the number of 30-day periods, then the equation

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! )