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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.

答案和解析

答案：C

解析：

Choice C is correct.