1) W(n)=15 . b^n
Initial numbers of horse: W(0)=?
n=0→W(0) = 15 . b^0
W(0)= 15 . 1
W(0)= 15
Answer: Based on the model, the initial number of horses is 15.
2) If b=1.35, the annual percent growth rate of the number of horses: r=?
b=1+r
1+r=1.35
Solving for r:
1+r-1=1.35-1
r=0.35
r=0.35*100%
r=35%
Answer: If b=1.35, the annual percent growth rate of the number of horses would be 35 %.