+845 The number of rabbits, R in a population after M months is modelled by the formula
R = 12e^(0.2m)
Show that after 6 months the rabbits population is increasing by almost 8 rabbits per month
so for this one i assumed my initial value before the 6 months would be 12
then i made m= 6 which gave me the answer of 39.8, rounded to the nearest whole number = 40
40- 12= 28, the amount increased during the 6 months period
28/6 = 4.6
this is where i noticed i went completely wrong, please explain as i am quite new to this topic thank you
+37146 All pretty good, except this is an EXPONENTIAL function....it is not linear month-to-month but is INRASING each month
(I am assuming you do NOT know how to derive dm/dt the rate function of this population function)
month 5 = 32.62
month 6 = 39.84
month 7 = 48.66
A little 'narrower' range of months ( rahter than 0 - 6 months) will yield better 'average'
in two months from 5 to 7 (48.66-32.62 ) / 2 = 8.02 rabits per month increase
or from month 5 to month 6 = 39.84 - 32.62 = 7.22 rabbits/month
Let's look at month 5.5 to 6.5 = 44.03 -36.05= 7.98 rabbits/month
