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Let p=1.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
And there's always good old-fashioned algebra.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
How will i start solving this kind of problem?
OA E
Hi lheiannie07,If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
How will i start solving this kind of problem?
OA E
If the initial price of coffee is p, after week one it's 2p, after week two it's 4p, after week 3 it's 8p, and after week 4 it's 16p.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
Thanks a lot!Scott@TargetTestPrep wrote:If the initial price of coffee is p, after week one it's 2p, after week two it's 4p, after week 3 it's 8p, and after week 4 it's 16p.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
Since the price triples a week later, the new price is (3)(16p), and since it quadruples the following week, it's (4)(3)(16p) = 12*2^4*p .
Answer: E
Thanks a lot!EconomistGMATTutor wrote:Hi lheiannie07,If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
How will i start solving this kind of problem?
OA E
Let's take a look at your question.
The price of the coffee is p. It doubles every week for 4 weeks, therefore,
After the first week the price of coffee = 2p
After the second week the price of coffee = 2(2p) = 2^2 p
After the third week the price of coffee = 2(2^2 p) =2^3 p
After the third week the price of coffee= 2(2^3 p) = 2^4 p
A week later the price of coffee triples, therefore the total price of coffee after a week later = 3(2^4 p)
and finally quadruples a week after that, therefore,
The final price of the coffee = 4 * 3(2^4 p) = 12 (2^4 p)
Therefore, Option D is correct.
Hope it helps.
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