Help Please! In 1923 koalas were introduced on Kangaroo Island off the coast of Australia. In 1996 the population was 5000. By 2005 the population had grown to 29000, prompting a debate on how to control their growth and avoid koalas dying of starvation. Asuming exponential growth, find the continuous rate of growth of the koala population between 1996 and 2005. Find a formula for the population as a function of years since 1996, and estimate the population in the year 2015. The continuous rate of growth is
We can call the population in 1996 our initial pop. Pi, Initial pop = 5000 Pf, 'final' pop = 29000 t is time X will be our growth rate Pf = Pi(X)^t
Using that, you can solve for X.
Then for the second part, you're solving for "Pf" in 2015.
I can explain in further detail if that isn't sufficient ^^
Oh, and the "time" in the first blurb is 2005-1996=9 years. <- Sorry.
Join our real-time social learning platform and learn together with your friends!