2019年SAT考试数学考前必练经典试题1

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Read the following SAT test question and then click on a button to select your answer.

The number of data objects stored in a company's "cloud" increased at a rate of 190% per year for 5 years. At the end of the fifth year, the number reached 762 billion objects. From the beginning of the sixth year, 1 billion objects were being added daily to the company's cloud. If the growth rate had not changed in the sixth year, approximately how many more objects would have been on the company's cloud at the end of the sixth year than the actual number of objects based on the constant daily increase? (Use 365 days per year.)

A.1.1 trillion objects

B.2.2 trillion objects

C.320 billion objects

D.397 billion objects

答案：A

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.

以上就是小编为大家准备的全部内容了，对于数学题我们唯有多多练习，才会熟能生巧，所以小编给大家真理了很多系列的试题在坦途网，备考就像是一场马拉松，前期越努力后期越轻松，希望在我们共同的努力下，大家在最后SAT考试成绩查询结果出来时，大家都能看到自己理想的成绩！