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 %.

Question

Mathematics

Alan Simpson

4 July, 00:16

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 %.

+5

Answers (2)

Know the Answer?

Julie Jennings · Answer 1

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%.

Thomas Glass · Answer 2

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%