2016年3月24日SAT数学题
Hareg's motorcycle uses 1 gallon of gas for every 30 miles traveled when traveling at an average speed of 60 miles per hour. The motorcycle's gas tank has 5 gallons at the beginning of a trip. If Hareg's motorcycle travels at an average speed of 60 miles per hour, which of the following functions best models the number of gallons of gas, g(h), remaining in the tank h hours after the trip begins?
(A) g(h)= 5-2h
(B) g(h)= 5-2/h
(C) g(h)= (5-60h)/30
(D) g(h)= (5-30h)/60
解释:
Choice A is correct.
2016年1月19日SAT数学题
If S is the set of positive integers that are multiples of 7, and if T is the set of positive integers that are multiples of 13, how many integers are in the intersection of S and T?
(A) None
(B) One
(C) Seven
(D) Thirteen
(E) More than thirteen
解释:
The intersection of sets S and T is the set of positive integers that are multiples of both 7 and 13.
The intersection of sets S and T is the set of integers that are in S and also in T. Set Sconsists of all positive integers that are multiples of 7, and set T consists of all positive integers that are multiples of 13, so the intersection of S and T is the set of positive integers that are multiples of both 7 and 13. This is the set of all positive integers that are multiples of 7 times 13 = 91. There are an infinite number of positive integers that are multiples of 91, so there are more than thirteen integers in the intersection of S and T.
以上就是2016年1月19日的SAT数学题,正确答案是E。
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