the year 2005, a total of 7.9 million passengers took a cruise vacation. The global cruise industry has been growing at 7% per year for the last decadeAssume that this growth rate continues

Question

(a)Write a formula for to approximate the the number, N, of cruise passengers(in millions) t years after 2005.

b)How many cruise passengers (in millions) are predicted in the year 2010? Answer nearest hundredth

C) how many cruise passengers (in millions) were there in the year 2000? Nearest hundredth

Please help… need answers asap

Answer 1

P(t) = 7.9e^.07t where 7.9 means 7.9 million and t is measured in years since 2005

P(2010) = 7.9e^.07(5) = 7.9e^.35 = projected 11.21 million in 2010

P(2000) = 7.9e^.07(-5) = 7.9e^-.35 = 7.9(.70469) =5.57 million in 2000

rounded to nearest hundredth of a million