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

Question

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

Answer 1

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

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

So, C