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
Let p=1.
Since the price doubles every week for a total of 4 weeks, we get:
Price after the first week = 2.
Price after the second week = 4.
Price after the third week = 8.
Price after the fourth week = 16.
Since the price triples the next week, we get:
Price after the fifth week = 3*16 = 48.
Since the price quadruples the next week, we get:
Price after the sixth week = 4*48 = 192.
The question stem asks for the price at the end of the 6-week period.
Thus, the target value is 192.
Now plug p=1 into the answer choices to see which yields the target value of 192.
Only
E works:
(12)(2�)(p) = (12)(16)(1) = 192.
The correct answer is
E.
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