Question

Suppose a male and a female of a certain species of animal were taken to a deserted island. The population of this species quadruples (multiplies by 4) every year. Assume that the animals have an abundant food supply and that there are no predators on the island.

What is an equation that can be used to model the population of the species?



Complete the equation below



f(n) = _______________


Use n as your variable.



Use the ^ symbol to represent an exponent.


For example: 52 should be typed as 5^2

Answer 1

f(n) = 2 * 4^n

Explanation:

The initial population = a male and a female = 2

The population quadruple every year, this means, a multiplication by 4 every year.

Hence, we have :

f(n) = (Initial population * multiple^years)

f(n) = 2 * 4^n