The price of Company C's stock tripled every 4 months for the past 16 months. How many times greater was the price of Company C's stock at the end of the 16 months than it was at the beginning of the 16 months?This question is fairly straightforward to answer. At the same time, to get it correct, we have to be careful to keep everything straight because the question writer has written it in such a way as to give us an opportunity to get confused and arrive at an incorrect answer.
The information is that the stock has tripled every 4 months for 16 months. So, to find the number of times the stock tripled, we have to divide 16 by 4.
Then, we have to remember that the stock did not quadruple each of those 4 times; it tripled. In other words, we have to avoid being confused by the 16, 4, and 4 into forgetting what we need to calculate. If we get confused, the question writer has given us some nice trap choices to pick, 64 and 256, which are \(4 × 16\) and \(4^4\) respectively.
If we keep everything straight, we see the following:
- 16 months total time
- The stock triples every 4 months; so, it triples 16/4 = 4 times.
- So, if the original price is S, then the price after 16 months = S x 3 x 3 x 3 x 3 = 81S.
A. 256
B. 245
C. 81
D. 64
E. 12Correct Answer