96+Graphing+Homework+2021 copy
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University of South Carolina *
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Course
146
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
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Uploaded by SargentThunder9989
Math 96 Graphing Assignment
Name:
Heidi hamilton _______________________
Show your work on this paper to receive credit. Match the graph to the equation by putting the letter of the graph below the equation.
a. b. c. d. 1) y
=
−
1
2
x
−
2
2) y
=
−
1
2
x
+
2
3) y
=
1
2
x
−
2
4) y
=
1
2
x
+
2
B______
______C
______D
______A
5.) The cost (c) of driving a moving van “m” miles is represented by the equation c
=
0.58
m
+
52
Complete parts a, b, c, and d below.
a.) How much would it cost to rent the car but not drive it? $52.00
b.) How much does it cost to drive the car one mile? $52.58
c.) What is the y-intercept in this model? What does it represent? The y-intercept would be 52. It represents the base cost of renting the moving van.
d.) What is the slope of this model? What does the slope represent in this situation? The slope is 0.58 and it represents the cost per mile driven.
6.) Give the equation of the line at the right. X=3
Give (and correctly label) the x & y intercepts of each line of each line if they exist: Don’t Graph
7.) y
=−
2
x
+
4
8.) 2
x
−
5
y
=−
10
9.) y
=−
1
X- intercept: (2,0) X- intercept: (-5,0) X-intercept: doesn’t exist
Y-intercept: (0,4) Y-intercept: (0,2) Y-intercept: -1
1
Give the slope of the lines between the two points. Then circle A, B, C, or D A) Graph Rises left to right; B) Graph Falls left to right; C) Horizontal Line D) Vertical Line
10. (
−
6,4
)
∧(
7
,
−
2
)
11.) (
4
,
−
3
)
∧(
4,7
)
12.) (
6,5
)
∧(
8,11
)
m
=
¿
-6/13
B
m
=
¿
DNE
D
m
=
¿
3
A
Match the statement on the left with the equation that describes it algebraically. Some equations may be used twice or not at all.
13. Tracee begins with 40 FB friends and adds 12 per month. _____C
14. Jarred spends $105 a week from his bank account which started at $805. D_____
15. LaLa starts with 39 pencils but loses 3 every day. F_____
16. Shani starts out running 6 miles a week and increases it by 1.5 miles every week after that. G_____
17. Randi sees her sales increase by 40 boxes every week from her original sales of 12 boxes. B_____
18. Molly owed $39 but paid her mom $3 per week. H_____
19. Tyrone’s hair was six inches long and grew 1.5 inches per month. G_____
20. Quizno’s had 805 stores in the Northwest and closed 105 a year. D_____
a. y
=
105
x
+
805
b. y
=
40
x
+
12
c. y
=
12
x
+
40
d. y
=−
105
x
+
805
e. y
=
6
x
+
1.5
f. y
=−
3
x
+
39
g. y
=
1.5
x
+
6
h. y
=
3
x
−
39
Find the equation of the line in slope-intercept form ( y
=
mx
+
b
) with the given information:
21. the slope is −
2
3
and the y-intercept is 3.
22. m
=
5
∧
b
=
−
1
4
Y=-2/3x+3. Y=5x+-1/4 23. The slope is 1
2
and it passes through the point (4, -5) 24. m
=
3
4
and it passes through (
0
,
−
7
)
Y=1/2x+-7 Y=3/4x+-7 25. The line passes through (
1,3
)
∧(
6
,
−
2
)
26. The line passes through (
3
,
−
4
)
∧
(
7
,
−
2
)
Y=-x+4. Y=1/2x -11/2 2
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