The change from religious to lay teachers at Roman Catholic schools has been partly attributed to the decline in the number of women and men entering religious orders. The percent of teachers who are lay teachers is given by the following where t is measured in decades, with t= 0 corresponding to the beginning of 1960, and 0 St≤ 4. f(t) = 96 1+2.75-1 (a) What percentage of teachers were lay teachers at the beginning of 1970? % (b) How fast was the percent of lay teachers changing at the beginning of 1970?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The change from religious to lay teachers at Roman Catholic schools has been partly attributed to the decline in the number of women
and men entering religious orders. The percent of teachers who are lay teachers is given by the following where t is measured in
decades, with t= 0 corresponding to the beginning of 1960, and 0 ≤ t≤ 4.
f (t) =
96
1+2.75e-t
(a) What percentage of teachers were lay teachers at the beginning of 1970?
(b) How fast was the percent of lay teachers changing at the beginning of 1970?
%/decade
Transcribed Image Text:The change from religious to lay teachers at Roman Catholic schools has been partly attributed to the decline in the number of women and men entering religious orders. The percent of teachers who are lay teachers is given by the following where t is measured in decades, with t= 0 corresponding to the beginning of 1960, and 0 ≤ t≤ 4. f (t) = 96 1+2.75e-t (a) What percentage of teachers were lay teachers at the beginning of 1970? (b) How fast was the percent of lay teachers changing at the beginning of 1970? %/decade
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