Graphing Linear Equations And Functions Worksheet - Welcome To Algebra 1: Concepts And Skills Page 6

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In Exercises 56–58, use the following information.
SNOW
1
Meteorology
Snow fell for 9 hours at a rate of
inch per hour. Before the snowstorm began,
2
1
there were already 6 inches of snow on the ground. The equation y
x
6
2
models the depth y (in inches) of snow on the ground after x hours.
1
56.
What is the slope of y
x
6? What is the y-intercept?
2
Explain what the slope and y-intercept represent in
57.
CRITICAL THINKING
the snowstorm model.
Graph the amount of snow on the ground during the storm.
58.
Snow crystals form
SNOW
In Exercises 59 and 60, use the following
SAVINGS ACCOUNT
on microscopic particles,
information.
You have $50 in your savings account at the beginning of the
called ice nuclei, which are
year. Each month you save $30. Assuming no interest is paid, the equation
present in clouds with below-
s
30m
50 models the amount of money s (in dollars) in your savings
freezing temperatures.
account after m months.
59.
Explain what the y-intercept and slope represent in this model.
Graph the model. Then use the graph to predict your total savings after
60.
18 months.
In Exercises 61 and 62, the cost of a long-distance
PHONE CALL
telephone call is $.87 for the first minute and $.15 for each additional
minute.
61.
Let c represent the total cost of a call that lasts t minutes. Plot points for the
costs of calls that last 1, 2, 3, 4, 5, and 6 minutes.
62.
Draw a line through the points you plotted in
CRITICAL THINKING
Exercise 61. Find the slope. What does the slope represent?
63.
Which of the following lines are parallel?
PARALLEL LINES
2x
y
10
6x
3y
13
2x
y
6
line a:
line b:
line c:
Write an equation of a line that is parallel to
64.
PARALLEL LINES
y
4x
5 but has a y-intercept of 3.
A parallelogram is a quadrilateral with opposite sides
CHALLENGE
parallel. Determine whether the figure is a parallelogram by using slopes.
Explain your reasoning.
65.
66.
y
y
C (6, 5)
C (6, 7)
7
B (0, 4)
B(1, 3)
Student Help
5
H
H
OMEWORK
ELP
Extra help with
1
D (7, 1)
3
D (7, 3)
problem solving in
x
1
Exs. 65–66 is available at
1
A(2,
1)
A (1, 0)
3
5
7
x
248
Chapter 4 Graphing Linear Equations and Functions

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