A population is currently 400 and growing at a rate of 6% per year.

(a) Write a formula for the population P as a function of time t in years: P(t)= 400(1+.06)^t
(b) If the population continues this trend, what will it be in ten years? (Round off to the nearest whole person.)
716.339078617
(c) If the population continues this trend, how many full years does it take to at least double?

1 answer

a agree
b agree

2 = 1.06^n

n log 1.06 = log 2
n = log 2/ log 1.06
n = 11.9 so 12