Question

The seagull population on a small island in the Atlantic Ocean can be calculated using the formula

P(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagull

population on the island be after 5 years? (Round to the nearest tenth.)

a. about 41.6 hundred thousand

c. about 172.4 hundred thousand

about 3.7 x 10' hundred thousand d. about 66.5 hundred thousand

Answer 1

The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)

Answer:

d. about 66.5 hundred thousand

Explanation:

Given that :

P(t) = 5.3t^(11/7)

Population, P is in hujdred thousand ; t = number of years

Population after 5 years ;

t = 5

P(5) = 5.3 * 5^(11/7)

P(5) = 5.3 * 5^1.5714285

P(5) = 5.3 * 12.542422

P(5) = 66.474840

P(5) = 66.5 (approximately)

Hence, population after 5 years will be about 66.5 hundred thousand.