Question

Sabrina is researching the growth of a population of horses on a ranch. She models the population of horses using the function below, where n is the number of years after she begins the research and b is an unknown base.
w(n) = 15 times b^n

Based on the model, the initial number of horses is answer .
If b = 1.35, the annual percent growth rate of the number of horses would be answer %.

Answer 1

n=0→w(0)=15(b)^0=15(1)→w(0)=15
Based on the model, the initial number of horses is 15

If b = 1.35, the annual percent growth rate of the number of horses would be
1.35-1=0.35=0.35*100%=35%
Answer: 35%

Answer 2

For this case, the first thing you should do is pass the number given to percentage.
 We have then:
 b = 1.35
 The percentage is:
 (1.35) * (100) = 135%
 Therefore, the growth is:
 135% - 100% = 35%
 Answer:
 If b = 1.35, the annual percent growth rate of the number of horses would be 35%.