FUNCTIONS (1.1)
NAME__________________________________
1.
As you travel from Tucson to Bisbee (94 miles), you pass through Benson. Benson is 40 miles from
Tucson. You can assume that you travel at a fairly constant speed. Sketch graphs to represent the
functions below. Label the axes and any important features of your graphs.
A. distance from Tucson as a function of time.
B. distance from Benson as a function of time
C. distance from Bisbee as a function of time.
D. speed as a function of distance.
2.
The relationship between the tuition,
T
, and the number of credits,
c
, at a particular college is given by
100
120
0
6
( )
800
120(
6)
6
18
c
c
T c
c
c
+
≤
⎧
=
⎨
+
−
<
≤
⎩
≤
A. What is the tuition for 7 credits?
B. If the tuition was $1880, how many credits were taken?
C. What is the domain of this function?
D. What are the practical interpretations of the vertical intercept and the slope?
3.
Suppose the rate,
R
, at which people in a particular town hear a rumor is proportional to the number of
people who have not heard the rumor. Let
L
be the total population of the town.
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 Fall '08
 Grether
 Tucson, vertical intercept, Benson, fairly constant speed, $1880

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