Algebra-2

Question Analysis
This question involves an exponential growth model with a given growth rate (40% annual growth, written as 0.4). The main focus is on solving for time (a whole number) by testing small integer values of to match the target population.

Key Concept Explanation
The exponential growth model here is , where:
(initial population)
(annual growth rate; is the growth factor)
= time in years (we solve for by finding which integer makes )

Step-by-Step Solution
Simplify the growth factor: , so the model becomes
Test :