Answer:
The bear population after t years will be:
p(t) = 380,000*(1 + 0.025)^t
Step-by-step explanation:
Here the question is missing, so i will found an equation that can tell us the bear population as a function of the number of years that have passed since 2015, represented with the variable t.
The initial bear population in Canada was 380,000.
Each year the population increases by a 2.5%
Then after one year, the population is:
p(1) = 380,000 + 380,000*(2.5%/100%)
p(1) = 380,000 + 380,000*(0.025) = 380,000*(1 + 0.025)
After another year the population increases by 2.5% again, then the new population will be:
p(2) = 380,000*(1 + 0.025) + 380,000*(1 + 0.025)*(2.5%/100%)
p(2) = 380,000*(1 + 0.025) + 380,000*(1 + 0.025)*(0.025)
p(2) = 380,000*(1 + 0.025)*(1 + 0.025)
p(2) = 380,000*(1 + 0.025)^2
So we already can see the pattern here, the bear population after t years will be:
p(t) = 380,000*(1 + 0.025)^t
