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两道SAT数学练习题目及答案

  下面为大家整理的是两道SAT数学练习题目及答案分析的内容。SAT数学题目的知识点是大家已经学习过的,但是如何应用到SAT数学特别的用法中则需要大家更多的练习才能掌握。下面我们就一起来看看这两道SAT数学题的详细内容吧。

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  1.A group of workers can harvest all the grapes from 10square meters of a vineyard in 1 over 2minute. At this rate, how many minutes will the group need to harvest all the grapes from 100square meters of this vineyard? 

  Answer Choices

  (A) 5 

  (B) 10 

  (C) 20 

  (D) 50 

  (E) 60 

  2.The projected sales volume of a video game cartridge is given by the function s of p = 3000 over ((2 times p) + a)where sis the number of cartridges sold, in thousands; pis the price per cartridge, in dollars; and ais a constant. If according to the projections, 100000cartridges are sold at 10 dollarsper cartridge, how many cartridges will be sold at 20 dollarsper cartridge? 

  Answer Choices

  (A) 20000 

  (B) 50000 

  (C) 60000 

  (D) 150000 

  (E) 200000 

  Explanation

  1.The correct answer is A

  Since 100square meters is 10times 10square meters, 10times as much time is needed to harvest the grapes from the 100square meters of vineyard. 10 times 1 over 2minute = 10 over 2, which equals 5minutes. 

  2.The correct answer is C

  For 100000cartridges sold at 10 dollarsper cartridge, s = 100(since sis the number of cartridges sold, in thousands) and p = 10. Substituting into the equation yields100 = 3000 over ((2 times 10) + a)

  Solving this equation for ayields 

100 times (20 + a) = 3000 

20 + a = 30 

a = 10

  Since ais a constant, the function can be written as function s of p = 3000 over ((2 times p) + 10). To determine how many cartridges will be sold at 20 dollarsper cartridge, you need to evaluate function s of 20 = 3000 over ((2 times 20) + 10) = 60. Since sis given in thousands, there will be 60000cartridges sold at 20 dollarsper cartridge.

  以上就是关于SAT数学练习题目及答案分析的全部内容,答案的分析非常详细。大家可以在备考自己的SAT数学考试的时候,进行适当的练习和应用。

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