Question

After the Hawaiian goose, or nene, was placed on the endangered species list, its population began to increase after reaching a critically low number. The number of nene N(t) in Hawaii t years after 1974 can be approximated by N(t) = 398(1.041)', where t = 0 corresponds to 1974. a) How many nene were in Hawaii in 1974? in 2004? in 2014? b) Graph the function. a) The number of nene in the year 1974 was approximately . (Simplify your answer. Round to the nearest whole number as needed.)

Answer 1

a brieven function is, NCH = 398 (1.041) wherre Ni(t) = numbers of nene after himet 1 t= time after 1974 - @ # when it is 1974 then ta (1974-1974)=0 :: NO) 398 (1.041)° = 398 The numbers of mere in the year 1974 was apprennimately, 398.. # In 2004, t= (2004-1974) =30 EIN (30) = 398 (1041)30 ~ 1328.63 ~1329 The numbers of none in the year 2004 was approssimately 329. # In 2014, t= (2014 - 1974) = 40 SN (40= 398 (1-041) 40 - 1985.69€ 1986 ... The number of nine in the years 2014 was approximately 1986, i ... ② The graph of N(t) = 398 (1.041)& as given below. 9 85.691986

2000 1500, 1000- -500 (0, 398) 500