Problem:
For the game show Who Wants To Be A Millionaire?, the dollar values of each question are shown in the following table (where K=1000).
QuestionValueβ1100β2200β3300β4500β51Kβ62Kβ74Kβ88Kβ916Kβ1032Kβ1164Kβ12125Kβ13250Kβ14500Kβ151000Kβ
Between which two questions is the percent increase of the value the smallest?
Answer Choices:
A. From 1 to 2
B. From 2 to 3
C. From 3 to 4
D. From 11 to 12
E. From 14 to 15
Solution:
The percent increase from a to b is given by
abβaβ(100%)
For example, the percent increase for the first two questions is
100200β100β(100%)=100%
Each time the amount doubles there is a 100% increase. The only exceptions in this game are 2 to 3 (50%), 3 to 4 (6632β%) and 11 to 12 (about 95%). The answer is (B).
OR
Answer: Bβ.
The problems on this page are the property of the MAA's American Mathematics Competitions