Set 5: Exponential Functions (Intermediate)

[Variation 1] **Choice B is the best answer.** After 2 doublings: 100 times 2 to the power of 2 = 400

Explanation

Answer: B

PROBLEM

Recent studies show that a population starts at 100 and doubles every year. What is the population after 2 years?

A population starts at 100 and doubles every year. What is the population after 2 years?

200

400

✓ Correct

398

401

Detailed Explanation

[Variation 1] Choice B is the best answer. After 2 doublings: 100 times 2 to the power of 2 = 400

Why others are wrong:

A: 200 is incorrect because it does not satisfy the equation.

C: 398 is incorrect because it does not satisfy the equation.

D: 401 is incorrect because it does not satisfy the equation.