Question

In 2011, the moose population in a park was measured to be 5,700. By 2018, the population was measured

Answer 1

Answer:

P = 5700(1.074ⁿ)

13,437 moose in 2023    13,425 if you use the rounded function above.

Step-by-step explanation:

p = 5700(1 + x)ⁿ

n = years elapsed     x = percentage increase per year

2018 - 2011 = 7 years

9400 = 5700(1 + x)⁷

9400/5700 = (1 + x)⁷

ln(9400/5700) = 7ln(1 + x)

ln(9400/5700) / 7 = ln(1 + x)

e^(ln(9400/5700) / 7) = e^(ln(1 + x))

1.07407879 = 1 + x

x = 0.07407879

2023 - 2011 = 12

P = 5700(1.074¹²) = 13,437