
Constant Proportionality
Presentation
•
Mathematics
•
7th Grade
•
Medium
+3
Standards-aligned
Shyann Leal
Used 223+ times
FREE Resource
5 Slides • 13 Questions
1
Constant Proportionality (k)
The constant multiple in y = kx
Where k is the constant multiple.
To find k you can use-
k = xy
2
How to spot k CONSTANT PROPORTIONALITY
Unit Rate (each, every, per, a)
Examples: 55 miles per hour, $4.25 per pound, 0.1 kilometer per minute
A constant rate - $30 for 5 hours, $32 every 4 months
3
How to FIND k (constant proportionality)
If given a UNIT RATE (55 miles per hour) K equals the number you are multiplying by. k = 55
y = 55x
4
Multiple Choice
k represents
the constant of proportionality
the king
ketchup
a strikeout
5
Multiple Choice
Which equation matches the constant of proportionality?
x = y
y = x
y = kx
l x w
6
Multiple Choice
Identify the constant of proportionality.
k = 2x
k = 2
k = 4
none (not proportional)
7
Multiple Choice
8
Multiple Choice
The constant of proportionality can be found by finding the ______ ______.
unit rate
ratio rate
proportion answer
rational number
9
How to FIND k (constant proportionality)
If given a constant rate ($30 for 5 hours) use k=xy → k = 530→ k =6
y = 6x, Olivia is paid $6 per hour for babysitting. The equation will find how much she will be paid for x amount of hours
10
How to FIND k (constant of proportionality)
From a TABLE use k = xy
From a GRAPH use k = xy
11
Multiple Choice
Which equation helps you solve for k?
k = yx
k = xy
k = y + x
k = 2x
12
Multiple Choice
What is the constant of proportionality for this table?
$1/9 per hour
$9 per hour
$8 per hour
13
Multiple Choice
Write the equation for the table given.
y = 16x
y=8x
y=12x
14
Multiple Choice
Determine the missing value in the table.
15
3
1/3
9
15
Multiple Choice
What is the constant of proportionality?
15
3
1/3
9
16
Multiple Choice
What is k in this proportional relationship?
60
120
1
180
17
Multiple Choice
What is the constant of proportionality for the following graph?
80
20
40
160
18
Multiple Choice
Which statement matches the graph?
Taylor can write 6 words per minute
Taylor can write 25 words per minute
Taylor can write 50 words per minute
Taylor can write 150 words per minute
Constant Proportionality (k)
The constant multiple in y = kx
Where k is the constant multiple.
To find k you can use-
k = xy
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