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SAT官方每日一题附答案和解析[数学](2017年4月24日)

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答案:B

解析:

Choice A is correct. If the number of objects was growing by 190% per year, that meant there were 100%+190%=290% as many objects at the end of one year as there were at the end of the previous year. That is the same as multiplying by 2.9 each year. The growth during the first 5 years can be modeled using the expression A*2.9^t, where A is the initial number of objects stored in the cloud and t is the number of years that have passed.

Since there were 762 billion objects at the end of the fifth year, if the number of objects continued to grow at the same rate, by the end of sixth year this number would be 2209.8 billion, which is about 2.2 trillion.

Once the company begins reporting a steady amount of increase per day, we can use a linear model. Since during the sixth year, 1 billion objects were added each day, 365 billion objects were reported to be added in the sixth year. So the total number of objects (in billions) at the end of the sixth year is 762 +365=1127, or approximately 1.1 trillion objects.

Therefore the difference between the total number of objects that would have been stored if the rate remained exponential and the total number of objects given the linear rate (in trillions) is 2.2-1.1=1.1. So, there would have been about 1.1 trillion more objects stored if the rate continued to be exponential.

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multiple ['mʌltipl]

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adj. 许多,多种多样的
n. 倍数,并联

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approximately [ə'prɔksimitli]

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adv. 近似地,大约

 
constant ['kɔnstənt]

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adj. 经常的,不变的
n. 常数,恒量

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steady ['stedi]

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adj. 稳定的,稳固的,坚定的
v. 使稳固

 
initial [i'niʃəl]

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n. (词)首字母
adj. 开始的,最初的,

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previous ['pri:vjəs]

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adj. 在 ... 之前,先,前,以前的

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