SOLUTION: Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.19 percent a year and that the 1988 population was 6.7 million, write an expression for th

Algebra ->  Test -> SOLUTION: Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.19 percent a year and that the 1988 population was 6.7 million, write an expression for th      Log On


   

Question 1188016: Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.19 percent a year and that the 1988 population was 6.7 million, write an expression for the population as a function of time in years. (Let t=0 in 1988.)
P=

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Continuous exponential growth is represented by a function of the form

y=ae%5E%28rt%29

where
a is the starting value (at t=0)
r is the growth rate as a decimal
t is the number of years

Plug in the given numbers:
a=6.7 (in millions)
r=0.19% = 0.0019

ANSWER: y=6.7e%5E%280.0019t%29