Equations Of Lines In Slope-Intercept And Standard Form Worksheet Page 9
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4.3 Equations of Lines in Slope-Intercept and Standard Form
n hours of work. What is her revenue for 100 hours of
d) What is the slope of the line?
work? What is her revenue for 101 hours of work? By
e) What does the slope tell you?
how much did the one extra hour of work increase the
revenue? (The increase in revenue is called the marginal
revenue for the 101st hour.)
76. Pens and pencils. A bookstore manager plans to spend
$60 on pens at 30 cents each and pencils at 10 cents
73. In-house training. The accompanying graph shows the
each. The equation 0.10x
0.30y
60 can be used to
percentage of U.S. workers receiving training by their
model this situation.
employers. The percentage went from 5% in year 0
a) What do x and y represent?
(1981) to 16% in year 14 (1995).
a) Find the slope of this line.
b) Graph the equation.
b) Write the equation of the line in slope-intercept form.
c) Use your equation to predict the percentage that will
be receiving training in the year 2000.
20
15
10
c) Write the equation in slope-intercept form.
5
d) What is the slope of the line?
0
14
(1981)
(1995)
Year
e) What does the slope tell you?
F I G U R E F O R E X E R C I S E 7 3
74. Women and marriage. The percentage of women in the
20 to 24 age group who have never married went from
G R A P H I N G C ALC U L ATO R
64% in year 0 (1970) to 33% in year 26 (1996) (Census
EXERCISES
Bureau, ).
a) Find the equation of the line through the two
Graph each pair of straight lines on your graphing calcula-
points (0, 0.64) and (26, 0.33) in slope-intercept
tor using a viewing window that makes the lines look per-
form.
pendicular. Answers may vary.
b) Use your equation to predict what the percentage
1
will be in the year 2000.
77. y
12x
100, y
x
50
1
2
75. Pansies and snapdragons. A nursery manager plans to
spend $100 on 6-packs of pansies at 50 cents per pack and
snapdragons at 25 cents per pack. The equation 0.50x
0.25y
100 can be used to model this situation.
a) What do x and y represent?
b) Graph the equation.
78. 2x
3y
300, 3x
2y
60
c) Write the equation in slope-intercept form.
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