# Calculus

In a study prepared in 2000, the percentage of households using online banking was projected to be
f(t) = 1.7e0.71t , (0 t 4)
where t is measured in years, with t = 0 corresponding to the beginning of 2000. (Round your answers to three decimal places.)
(a) What was the projected percentage of households using online banking at the beginning of 2002?
%

(b) How fast was the projected percentage of households using online banking changing at the beginning of 2002?
%/yr

(c) How fast was the rate of the projected percentage of households using online banking changing at the beginning of 2002? Hint: We want f ''(2). Why?
%/yr/yr

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1. (a) just plug in t=2
(b) f' = 1.207 e^.71t
So, express f'(2) as a %
(c) f' is the rate of change. To find how fast the rate is changing, use f".
f" = 0.857 e^.71t

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