Hello, I just have one question with three short parts, I was hoping I could recieve some help. I'd appreciate it, thanks. :)
(Thanks so much for your help).
Present population =PP
Future population =FP
FP = PP x [1 + R]^N
FP = 400 x [1 + 1.5]^10
FP = 3,814,697 - populations of weevils after 10 weeks.
1,000,000 =400 x 2.5^N
2,500 = 2.5^N
N =log(2,500) / log(2.5)
N = 8.54 - Number of weeks when the population hits 1,000,000.
1. A possible formula is
P = 400(2.5)^(N ) where P is the population after N weeks
[ Note 150% actually means that the population increases by 2.5 times every week ]
2. After 10 weeks we have
P = 400(2.5)^ (10) = 400 (2.5)^10 ≈ 3,814,697
3. We need to solve this
1,000,000,000 = 400 (2.5)^(N) divide both sides by 400
2,500,000 = (2,5)^(N ) take the log of both sides
log 2500000 = log 2.5^(N ) and by a log property we can write
log 2500000 = (N ) log2.5 divide both sides by log 2.5
16.077 = N ≈ 16 weeks