

Direct Variation 2
Presentation
•
Mathematics
•
12th Grade
•
Easy
+7
Standards-aligned
Attarrius Norwood
Used 9+ times
FREE Resource
8 Slides • 45 Questions
1
Another way of describing a relationship between X and Y that is proportional

2
3
Use the formula: y = kx
Finding x when you know k and y
4
Multiple Choice
5
Multiple Choice
6
7
Multiple Choice
8
Multiple Choice
Suppose y varies directly as x. If x = 15 when y = 12, find x when y = 21.
8.57
16.8
24
26.25
9
Multiple Choice
Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.
0.44
81
23
9
10
Multiple Choice
The amount a store earns varies directly as the number of hours. A local store takes in $11,500 in a 4 hour period. Estimate how many hours it would take the store to earn $23,000
2 hours
8 hours
11,504 hours
66,125,000 hours
11
Multiple Choice
The number of apples sold varies directly as the cost. If 4 apples cost $0.45, find the cost of 12 apples.
$1.35
$106.67
$0.45
$0.15
12
Multiple Choice
Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.
1.07
15
26
60
13
Multiple Choice
Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.
0.1
90
153
250
14
Multiple Choice
On a scale, yards vary directly as feet. If 3 feet represent 30 yards, how many yards represent 5 feet.
0.5 yards
18 yards
32 yards
50 yards
15
Multiple Choice
Suppose y varies directly as x. If y = -4 when x = 32, find x when y = -0.375.
0.05
3
27.6
341.3
16
Multiple Choice
The number of books sold varies directly as the cost of the books. If 8 books cost $10.40, how many books can be bought for $32.50?
25 books
30 books
32 books
42 books
17
Multiple Choice
Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.
-5
3
9.8
20
18
Multiple Choice
Suppose y varies directly as x. If y = 3 when x = 15, find x when y = 5.
25
17
9
1
19
Fill in the Blanks
Y varies directly as X; and Y = 21 when X = 3. Then find X when Y = 42.
Type answer...
20
Fill in the Blanks
Y varies directly as X, and Y = 8 when X = 16. Then find X when Y = 16.
Type answer...
21
Fill in the Blanks
Heather’s weekly pay varies directly to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work.
Type answer...
22
Multiple Select
Does the table illustrate a direct variation?
No
Yes
23
Multiple Choice
y varies directly with x. If the constant of proportionality is 3 and y = 15, what is x?
3
15
5
1/5
24
Multiple Choice
y varies directly with x. If the constant of proportionality is 6 and y = 24, what is x?
6
24
4
1/4
25
Multiple Choice
y varies directly with x. If the constant of proportionality is 20 and y = 4, what is x?
20
4
5
1/5
26
Multiple Choice
y varies directly with x. If the constant of proportionality is 8 and y = 56, what is x?
8
56
7
1/7
27
Multiple Choice
y varies directly with x. If the constant of proportionality is 5 and y = 5, what is x?
5
1
0
28
use the formula: k = y/x
To find the Constant of Proportionality:
29
Multiple Choice
y varies directly with x. If y = 10 and x = 2, what is the constant of proportionality?
10
2
5
1/5
30
Multiple Choice
y varies directly with x. If y = 20 and x = 5, what is the constant of proportionality?
20
5
4
1/4
31
Multiple Choice
y varies directly with x. If y = 50 and x = 5, what is the constant of proportionality?
50
5
10
1/10
32
Multiple Choice
y varies directly with x. If y = 18 and x = 3, what is the constant of proportionality?
18
3
6
1/6
33
Multiple Choice
y varies directly with x. If y = 12 and x = 15, what is the constant of proportionality?
12
15
4/5
5/4
34
In direct variation, one variable will always be a constant multiple of the other.
35
Situations that vary directly can always be represented with the equation
y = K x ( K is your CoP)
K = y/x
To find K you must divide Y by X
36
Open Ended
If x = 9 and y = 6 then.... k = ______________
What would your equation be? y= _______________
If x = 2 and y =15 then... k = ____________
What would your equation be? y= ____________
37
Multiple Choice
38
Fill in the Blanks
If x is -3 and y is 18, then k =
39
Fill in the Blanks
If x = 1/4 and y = 7, then what is K?
40
Fill in the Blanks
If x = 2/3 and y = 24, then what is K?
41
42
Multiple Choice
Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.
yes, the constant of variation is 1/2
yes, the constant of variation is 2
no, there is constant of variation.
43
Multiple Choice
Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.
yes, the constant of variation is 2
yes, the constant of variation is 1/2
no, there is no constant of variation
44
Multiple Choice
45
Multiple Choice
Does the equation shown below represent a direct variation?
y=2x
yes
no
46
Multiple Choice
47
Multiple Choice
Which graph shows a direct variation?
A
B
C
D
48
Multiple Choice
Write the equation for the direct variation, given the table.
y = 1/3x
y = 3x
y = 1/2x
49
Multiple Choice
Write an equation for this direct variation.
y=4x
y=1/8x
y=1/4x
y=8x
50
Multiple Choice
51
Multiple Choice
52
Multiple Choice
If x = 10.5 and y = 21, what is the equation that represents the direct variation?
y = -2x
y = 2x
y = .5x
y = 1.5x
y = 2/3x
53
Multiple Choice
If x= 20/3 and y = 10, what is the equation that represents the direct variation?
y = -2x
y = 2x
y = .5x
y = 1.5x
y=2/3x
Another way of describing a relationship between X and Y that is proportional

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