3
Answer: ASet 4: Exponential Functions (Intermediate)
Explanation
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.✓ Correct
800
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.