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math

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The number of cases for a disease has reduced by half every 10 years:

1970 - 21,168
1980 - 10,584
1990 - 5,292

Assume N is the number of reported cases t years after 1970. Which is a good model for N(t)?

a) 21,168 (2)^t
b) 21,168 (1/2)^t
c) 21,168 (1/2)^t/10
d) 21,168 (2)^t/10

  • math -

    You need t/10, since the number is halved every 10 years.

    Since it's halved, that's (1/2)^(t/10)

    So, C

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