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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
cc
Tc
+≤
⎧
=
⎨
+−<
≤
⎩
≤
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
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This note was uploaded on 04/11/2011 for the course MATH 1400 taught by Professor Grether during the Fall '08 term at North Texas.
 Fall '08
 Grether

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