2

Set 4: Exponential Functions (Intermediate)

Explanation

Answer: C

PROBLEM

Recent studies show that a population starts at 400 and doubles every year. What is the population after 3 years?

A population starts at 400 and doubles every year. What is the population after 3 years?

A.

3201

B.

3198

C.

3200

✓ Correct
D.

3202

Detailed Explanation

[Variation 1] Choice C is the best answer. After 3 doublings: 400 times 2 to the power of 3 = 3200

Why others are wrong:
A: 3201 is incorrect because it does not satisfy the equation.
B: 3198 is incorrect because it does not satisfy the equation.
D: 3202 is incorrect because it does not satisfy the equation.