Question

The population of owls in an area was estimated to be 200 with a growth rate of 6% each year. Which of the following functions model the estimated population of owls in "t" years?

P(t) = 200(1.06)^t
P(t) = 200(1.60)^t
P(t) = 200(0.06)^t
P(t) = 6(200)^t

Answer 1

The answer to your question is P(t) = 200(1.06)
`)^(t)`

Explanation:

Process

1.- The function must consider the initial population of owls (200) as the main number.

2.- The percent (6) must be in the function but in decimal form 0.06.

3.- The number of years must be the exponent.

4.- (1.06)
`)^(t)` must be in the function because it consider the 6% the number of years.

5.- Conclusion

The first option is the correct choice

Test

Number of years = 0 P(0) = 200(1.06)⁰ = 200(1) = 200

1 P(1) = 200(1.06)¹ = 212

2 P(2) = 200(1.06)² = 224

This information is correct.