23 September 2008
MAT194 Precalculus Section 3
Exam #1
Directions
. Read all questions carefully. You are allowed to use a calculator, but make sure to show your
work when you are asked to use algebra. If you get stuck on a question, move on to the next one and
come back for it later.
1.
At 7:00 pm, there are 5,000 cars full of Dave Matthews Band fans at the Saratoga Performing Arts
Center. Each minute, 20 more drive into the parking lot.
(a) What is the average rate at which the number of cars, C, is changing? Don’t forget to use the
correct units for the situation (this is the real world, not math world).
(b) Write a formula for the number of cars at the concert, C, in terms of time in minutes, t.
C(t) =
(c) What are the domain and range of this function? Assume that cars stop driving into the concert
when it ends at 11:00 pm. (Don’t forget that we’re in the real world.)
Domain:
Range:
(d) Sketch a graph of this function. Make sure to label both axes and the yintercept.
1
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 Fall '08
 Staff
 Calculus, Algebra, Derivative, Convex function, Dave Matthews Band, Saratoga Performing Arts

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