Set 2: Exponential Functions (Intermediate)

[Variation 1] **Choice B is the best answer.** After 3 doublings: 500 times 2 to the power of 3 = 4000

Explanation

Answer: B

PROBLEM

Recent studies show that a population starts at 500 and doubles every year. What is the population after 3 years?

A population starts at 500 and doubles every year. What is the population after 3 years?

2000

4000

✓ Correct

3999

4001

Detailed Explanation

[Variation 1] Choice B is the best answer. After 3 doublings: 500 times 2 to the power of 3 = 4000

Why others are wrong:

A: 2000 is incorrect because it does not satisfy the equation.

C: 3999 is incorrect because it does not satisfy the equation.

D: 4001 is incorrect because it does not satisfy the equation.