Unformatted text preview: tember 27, 2012 at 11:30am the DJIA was 13,420 and at 1:30pm, the DJIA was 13,520.
Suppose A = h(t) gives the value of the DJIA t hours after 9:00am on September 27, 2012
with 0 ≤ t ≤ 8.
a. [4 points] Using the information given above approximate A using a linear function, ℓ(t).
Write an expression for ℓ(t). ℓ(t) =
b. [4 points] Your friend tells you that an exponential function would be more accurate in
modeling A. If g(t) is an exponential function which approximates A, what is the hourly
growth rate of g(t)? What was the value of the DJIA at 2:30pm on September 27, 2012
according to this model? value of DJIA at 2:30pm = growth rate = c. [4 points] In the end you realize the best model for A is a function of the form
p(t) = tk + b
where k and b are constants. You also ﬁnd out that at 9am on September 27, the DJIA
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