Suppose that the number of new cases of a certain disease $t$ years after 1950, $I(t)$, is reduced by 5 percent per year.

a) If there were 7000 new cases of the disease in 1950, write a formula for $I(t)$.

$I(t) =$

b) Based on your model from part (a), approximately how many new cases will there be in 2060?

cases

Hint: