In 2016 a population of deer in an area was estimated to be 500 with a growth rate of 8% each year. Which of the following models the estimated population of deer in "t" years?

A. P (t) = 500 (1.08) ^t

B. P (t) = 500 (1.8) ^t

C. P (t) = 500 (0.08) ^t

D. P (f) = 500 (0.82) ^t

Question

Mathematics

Hana Brown

23 December, 22:46

In 2016 a population of deer in an area was estimated to be 500 with a growth rate of 8% each year. Which of the following models the estimated population of deer in "t" years?

A. P (t) = 500 (1.08) ^t

B. P (t) = 500 (1.8) ^t

C. P (t) = 500 (0.08) ^t

D. P (f) = 500 (0.82) ^t

+1

Answers (1)

Know the Answer?

Diego Meadows · Answer 1

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P (1 + r) ^t

Where

A represents the population of the deer after t years.

t represents the number of years.

P represents the initial population of the deer.

r represents rate of growth.

From the information given,

P = 500

r = 8% = 8/100 = 0.08

Therefore, the models that estimates the population of deer in "t" years is

A. P (t) = 500 (1.08) ^t

In 2016 a population of deer in an area was estimated to be 500 with a growth rate of 8% each year. Which of the following models the estimated population of deer in "t" years?A. P (t) = 500 (1.08) ^tB. P (t) = 500 (1.8) ^tC. P (t) = 500 (0.08) ^tD. P (f) = 500 (0.82) ^t

In 2016 a population of deer in an area was estimated to be 500 with a growth rate of 8% each year. Which of the following models the estimated population of deer in "t" years?

A. P (t) = 500 (1.08) ^t

B. P (t) = 500 (1.8) ^t

C. P (t) = 500 (0.08) ^t

D. P (f) = 500 (0.82) ^t