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SAT官方每日一题附答案和解析[数学](2018年11月30日)

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Mathematics

Scarlett is studying the neurology of mice. One article she reads suggests that the number of neurons a mouse has, N(t), after t months is modeled by the function N(t)=N0*(1-r)^(t/τ), where N0 is the initial number of neurons at time t=0, r is a rate where 0<r <1, and τ, measured in months, is a constant. If τ is 4 months, which of the following statements would best describe the relationship between the number of neurons and the number of months t that have passed since N0 was measured?

A.The number of neurons decreases by a fixed amount every 4 months.
B.The number of neurons remaining increases by a fixed amount every 4 months.
C.The number of neurons decreases by an amount proportional to the decrease in the previous 4 months.
D.The number of neurons increases by an amount proportional to the increase in the previous 4 months.

重点单词   查看全部解释    
initial [i'niʃəl]

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n. (词)首字母
adj. 开始的,最初的,

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constant ['kɔnstənt]

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adj. 经常的,不变的
n. 常数,恒量

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function ['fʌŋkʃən]

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n. 功能,函数,职务,重大聚会
vi. 运行

 
neurology [njuə'rɔlədʒi]

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n. 神经学,神经病学

 
measured ['meʒəd]

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adj. 量过的,慎重的,基于标准的,有韵律的 动词me

 
describe [dis'kraib]

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vt. 描述,画(尤指几何图形),说成

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previous ['pri:vjəs]

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adj. 在 ... 之前,先,前,以前的

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