Question

The number of rabbits in a population quadruples every 8 years. By what percent does the population change each year?
A 118.9% growth
B. 18.9% growth
c.84.1% growth
D. 18.9% decay​

Answer 1

The correct answer is B.

Answer 2

The percentage of population change in each year is option (B) 18.9%

What is Exponential Growth?

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Given,

The number of rabbit in a population quadruples every 8 year

Therefore the

Exponential Growth function will be

$y=a(4)^{\frac{t}{8} } \\y=a(4^{\frac{1}{2} })^{t} \\y=a(1.189)^{t}\\ y=a(a+0.189)^{t}$

Therefore, the percentage of the population change in each year is 18.9%

Hence, the percentage of population change in each year is option (B) 18.9%

Learn more about Exponential growth here

https://brainly.com/question/11487261

#SPJ2