Download Sections 1.4, 1.5 worksheet

BCUSP 123A
Section 1.4, 1.5: Linear Functions
In small groups, work on the following problems. On a separate piece of paper, turn in the solutions.
Put all the names of people who worked on it with the name of the person I should return the solutions
to underlined.
1. You have $63 to spend on drinks for a party you are throwing and you plan on buying a
combination of pop, which costs $3.50 for a 12-pack and bottled water which costs $3.00 for a
pack of 6 bottles. Let p be the number of 12-packs of pop and w be the number of 6-packs of water.
a. Find an equation relating p and w.
b. Graph the equation and interpret the vertical and horizontal intercepts and the slope in the
context of this problem.
2. Match the equations with the graphs below. The axes are NOT drawn to scale.
a.
y = -9.7x
b.
y = .01 + .03x
c. y = 25.8-.4x
d.
y=x/4
e.
x=-2
f.
y = -6.4 – 320x
g. y = 3
h.
y = .09x-13
10
20
20
20
15
15
8
15
6
10
5
-4
-3
-2
-3
-2
-1
5
-1
0
1
2
3
4
10
5
0
0
1
2
3
4
5
-2
0
-4
2
0
-5
-5
4
10
-5
0
-5
-4
-3
-2
-1
0
1
2
3
4
-4
-3
-2
-1
-5
5
-6
-8
-10
10
1
2
3
4
5
-10
-4
-5
0
-5
5
-10
-15
-15
-20
25
9
9
5
15
7
5
7
5
5
0
-5
-4
-3
-2
-1
0
1
2
3
4
5
3
-5
-5
-4
-3
-2
-1
-5
0
1
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3
4
3
5
1
1
-15
-5
-4
-3
-2
-1 -1 0
-10
-3
-15
-5
1
2
3
4
-5
5
-25
-35
-4
-3
-2
-1 -1 0
1
2
3
4
5
-3
-5
3. Questions about lines. Answer the following questions in complete sentences.
a. Does every line have two distinct intercepts? Explain and give examples.
b. Can every line be written in slope-intercept form? Explain and give examples.
c. If two lines have the same slope, and different x-intercepts, can they have the same yintercepts? Explain and give examples.
d. Is there a situation in which you could know the x-intercept and y-intercept of the line, and not
be able to determine the equation of the line? Explain and give examples.