2.4 Write Equations Of Lines Examples And Worksheet - Chapter 2, Linear Equations And Functions Page 7
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7
8
9In 1994, the average monthly cost for expanded basic
55.
CABLE TELEVISION
cable television service was $21.62. In 2004, this cost had increased to $38.23.
Write a linear equation that models the monthly cost as a function of the
number of years since 1994. Predict the average monthly cost of expanded
basic cable television service in 2010.
TIRE PRESSURE
Automobile tire pressure increases about 1 psi (pound per
56.
square inch) for each 108F increase in air temperature. At an air temperature
of 558F, a tire’s pressure is 30 psi. Write an equation that models the tire’s
pressure as a function of air temperature.
MULTIPLE REPRESENTATIONS
Your class wants to
57.
make a rectangular spirit display, and has 24 feet of
decorative border to enclose the display
w
a. Writing an Equation
Write an equation in standard
form relating the possible lengths l and widths w of
the display.
l
b. Drawing a Graph
Graph the equation from part (a).
c. Making a Table
Make a table of at least five possible pairs
of dimensions for the display.
58.
CHALLENGE
You are participating in a dance-a-thon
Hourly
Fixed
Donor
to raise money for a class trip. Donors can pledge an
amount
amount
amount of money for each hour you dance, a fixed
Clare
$4
$15
amount of money that does not depend on how long
you dance, or both. The table shows the amounts
Emilia
$8
None
pledged by four donors. Write an equation that
Julio
None
$35
models the total amount y of money you will raise
from the donors if you dance for x hours.
Max
$3
$20
M
R
IXED
EVIEW
PREVIEW
Solve the equation. Check your solution.
(p. 18)
Prepare for
9x 5 27
5x 5 20
23x 5 21
59.
60.
61.
Lesson 2.5
in Exs. 59–64.
8x 5 6
4x 5 214
10x 5 8
62.
63.
64.
Solve the inequality. Then graph the solution.
(p. 41)
6x 1 4 ≥ 22
3x 1 5 < 17
2x 2 4 > 210
65.
66.
67.
5x 1 3 ≤ 2x 2 12
4x 1 5 ≥ 2x 1 3
23 ≤ 2x 2 7 ≤ 13
68.
69.
70.
3x 2 5 ≥ 7 or 2x 2 4 > 3
2x < 6 or 5x 2 9 ≥ 16
14 < 5 2 x < 9
71.
72.
73.
Graph the equation.
(p. 72)
y 5 x 2 8
y 5 22x 1 1
y 5 3x 2 2
74.
75.
76.
1
5
y 5 4x 1 2
y 5 2
x 1 4
y 5
x 2 6
77.
78.
79.
}
}
3
2
RESERVOIRS
The surface elevation of a reservoir is 940 feet above sea level.
80.
Water is released over a period of 15 days, lowering the surface elevation to
934 feet above sea level. What is the average rate of change in the reservoir’s
surface elevation over the period?
(p. 82)
EXTRA PRACTICE
ONLINE QUIZ
104
Chapter 2 Linear Equations and Functions
for Lesson 2.4, p. 1011
at
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