3

Set 4: Exponential Functions (Intermediate)

Explanation

Answer: A

PROBLEM

Recent studies show that a population starts at 100 and doubles every year. What is the population after 3 years?

A population starts at 100 and doubles every year. What is the population after 3 years?

A.

800

✓ Correct
B.

798

C.

400

D.

802

Detailed Explanation

[Variation 1] Choice A is the best answer. After 3 doublings: 100 times 2 to the power of 3 = 800

Why others are wrong:
B: 798 is incorrect because it does not satisfy the equation.
C: 400 is incorrect because it does not satisfy the equation.
D: 802 is incorrect because it does not satisfy the equation.