- #1

TN17

- 47

- 0

## Homework Statement

Equation for population growth is:

P(t) = P

_{0}(1 + R/100)

^{t/t0}

R --- growth rate in %

t

_{0}--- time period

Suppose a population grew from 10 000 to 25 000 in 6 years. If time is measured in years, calculate:

a)Yearly growth rate Answer:16.5%

b) Growth rate per decade Answer360.5%

## The Attempt at a Solution

For a)

25 000 = 10000(1 + R/100)

^{6}

2.5 = (1 + R/100)

^{6}

log 2.5 = 6 log [(100 + R)/100]

This is where I got stuck. I'm not sure how to isolate "R".

For b)

I wouldn't know how to solve this without knowing how to do a).

Last edited: