Larry saves x dollars per month. Will Larry’s total savings one year from now exceed his present savings by at least $500 ?()(Assume that there is no interest.)
(1)In 6 months Larry’s total savings will be $900.
(2)In 3 months Larry’s total savings will exceed his present savings by $150.
A.条件(1)充分,但条件(2)不充分.
B.条件(2)充分,但条件(1)不充分.
C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D.条件(1)充分,条件(2)也充分.
E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
参考答案:B
解析:
设Larry某前的存款为y美元,则根据(1)可得6x+y=900,因为x和y都是未知数,所以无法求出Larry一个月究竟存多少钱或Larry某前的存款是多少,从而也不知道一年下来,Larry存了多少钱,所以(1)不充分;由(2)可得3x=150,也即Larry每个月存50美元,一年下来他可以存600美元,所以(2)可以充分地说明Larry从现在起一年的总存款能比他现在的存款至少多500美元。