Applied exponential growth example.

DUE:

• N(t) = (N₀) e^kt
  • N₀ is y intercept
  • kt is slope, but is an exponential power

N(t) = pop at time “t”

t = years since time 0

N₀ = pop at time 0

k = growth rate (% expressed as decimal)

The state of Jamaica can produce 4kg of corn per m² on its 350,000 hectares (3.5 billion m2) of farmland. The initial population is 2mil and each person consumes 175 kg/year.

1. If your population growth is 1%, how long before your population becomes larger than you can support? What if it is 2%? What if it is 0.4%?

2. Graph all three lines (separate lines are OK). Population vs. time or corn consumed vs. time.

3. Indicate where the food needs of the population exceeds corn supply…